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Find the properties of the given parabola. Tap for more steps... Direction: Opens Up. Vertex: (2,−4) ( 2, - 4) Focus: (2,−15 4) ( 2, - 15 4) Axis of Symmetry: x = 2 x = 2. Directrix: y = −17 4 y = - 17 4. Select a few x x values, and plug them into the equation to find the corresponding y y values. The x x values should be selected around ...To get this in slope intercept form, subtract 4x to get 3y=-4x+6. To get rid of the coefficient of 3, we have to divide ALL TERMS by 3 to get 3/3y = 4/3 x + 6/3 or y=4/3x + 2. If you do not divide all terms on the other side, you will not get an equivalent equation. Example: suppose you say 10 = 6 + 4.Mar 6, 2017 · Graph the parabola, y =x^2+1 by finding the turning point and using a table to find values for x and y.An equation of the form Ax + By = C, where A and B are not both zero, is called a linear equation in two variables. Here is an example of a linear equation in two variables, x and y. The equation y = −3x + 5 is also a linear equation. But it does not appear to be in the form Ax + By = C. We can use the Addition Property of Equality and ...Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. Graph y = ax^2 + bx + c. Save Copy. Log InorSign Up. y = x 2. 1. y = ax 2 + bx + c. 2. a = 1. 3. b = 0. 4. c = 0. 5. 6. 7. powered by. powered by "x" x "y" y "a" squared a 2Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.This is the first of 3 videos on Inverse Functions, which is in the Year 11 Maths Methods course.By graphing two functions, then, we can more easily compare their characteristics. There are three basic methods of graphing linear functions: Plot the points and then drawing a line through the points. Use the y-intercept and slope. Use transformations of the identity function f(x) = x.Graph a sine curve with an amplitude of 1/2. graph{y=1/2sinx [-10, 10, -5, 5]} To graph a sine function use y=Asin(Bx-C)+D, where A is amplitude (2pi)/B is period C/B is phase shift D is vertical shift For y=1/2sinx amplitude=1/2 period= (2pi)/1 = 2pi phase shift = 0 vertical shift = 0 In other words, just graph y=sinx, but reduce the amplitude to 1/2. Amplitude is the distance from the ...Trigonometry. Graph y=-3/2*tan (1/2x) y = − 3 2 ⋅ tan( 1 2 x) y = - 3 2 ⋅ tan ( 1 2 x) Find the asymptotes. Tap for more steps... No Horizontal Asymptotes. No Oblique Asymptotes. Vertical Asymptotes: x = π+2πn x = π + 2 π n where n n is an integer. Use the form atan(bx−c)+ d a tan ( b x - c) + d to find the variables used to find ...Trigonometry. Graph y=-3x^2-4x-1. y = −3x2 − 4x − 1 y = - 3 x 2 - 4 x - 1. Find the properties of the given parabola. Tap for more steps... Direction: Opens Down. Vertex: (−2 3, 1 3) ( - 2 3, 1 3) Focus: (−2 3, 1 4) ( - 2 3, 1 4) Axis of Symmetry: x = −2 3 x = - 2 3.Recall that in the general slope-intercept equation y = m x + b , the slope is given by m and the y -intercept is given by b . Therefore, the slope of y = 2 x + 3 is 2 and the y -intercept is ( 0, 3) . In order to graph a line, we need two points on that line. We already know that ( 0, 3) is on the line. Additionally, because the slope of the ...The equation has a slope of 2/3 and the y-intercept is -1. The graph is aatched with the answer below. An equation of a line is a mathematical expression that describes the relationship between the x and y coordinates of all the points on a straight line. It takes the form y = mx + b, where m is the slope of the line and b is the y-intercept ...Interactive, free online graphing calculator from GeoGebra: graph functions, plot data, drag sliders, and much more!y = |x + 2| − 1 y = | x + 2 | - 1. Find the absolute value vertex. In this case, the vertex for y = |x+2|−1 y = | x + 2 | - 1 is (−2,−1) ( - 2, - 1). Tap for more steps... (−2,−1) ( - 2, - 1) The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes ...Example 4.2.13. Graph the equation 3x+y=−1. Solution. Find three points that are solutions to the equation. First solve the equation for y. 3x + y y = = −1 −3x − 1. We'll let x be 0, 1, and −1 to find 3 points. The ordered pairs are shown in Table 4.2.5. Plot the points, check that they line up, and draw the line.x = y2 − 2y − 1 x = y 2 - 2 y - 1. Find the properties of the given parabola. Tap for more steps... Direction: Opens Right. Vertex: (−2,1) ( - 2, 1) Focus: (−7 4,1) ( - 7 4, 1) Axis of Symmetry: y = 1 y = 1. Directrix: x = −9 4 x = - 9 4. Select a few x x values, and plug them into the equation to find the corresponding y y values.Explanation: y = 1. A straight line in slope (m) and intercept (c) form is: y = mx + c. In this example, y is a straight line of slope 0 and y − intercept of 1. ∴ y = 0 ⋅ x +1. Hence, the graph of y a is straight line parallel to the x − axis through the point (0,1) Answer link. A straight line parallel to the x-axis through the point ...Graph y=(x-9)^2. Step 1. Find the properties of the given parabola. Tap for more steps... Step 1.1. Use the vertex form, , to determine the values of , , and . Step 1.2. Since the value of is positive, the parabola opens up. Opens Up. Step 1.3. Find the vertex. Step 1.4. Find , the distance from the vertex to the focus.Graphs are beneficial because they summarize and display information in a manner that is easy for most people to comprehend. Graphs are used in many academic disciplines, including...In this video we'll draw the graph for y = 2x + 1. You may also see this written as f(x) = 2x + 1. First, we will use a table of values to plot points on the...Free equations calculator - solve linear, quadratic, polynomial, radical, exponential and logarithmic equations with all the steps. Type in any equation to get the solution, steps and graphExplore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.

Pre-Algebra. Graph y<-1/2x-2. y < − 1 2 x − 2 y < - 1 2 x - 2. Find the slope and the y-intercept for the boundary line. Tap for more steps... Slope: − 1 2 - 1 2. y-intercept: (0,−2) ( 0, - 2) Graph a dashed line, then shade the area below the boundary line since y y is less than −1 2x−2 - 1 2 x - 2. y < − 1 2x−2 y < - 1 2 x - 2.Pre-Algebra. Graph y=2^ (1/x) Step 1. Find where the expression is undefined. Step 2. The verticalasymptotes occur at areas of infinite discontinuity. No VerticalAsymptotes. Step 3. Evaluate to find the horizontalasymptote.Graphs are essential tools that help us visualize data and information. They enable us to see trends, patterns, and relationships that might not be apparent from looking at raw dat...Sketch the graph of the quadratic function. Solution: In this case we have and. STEP 1: Find the vertex. To find x - coordinate of the vertex we use formula: So, we substitute in for and in for to get. To find y - coordinate plug in into the original equation: So, the vertex of the parabola is. STEP 2: Find the y-intercept.Pre-Algebra. Graph y=2^ (x-3)+1. y = 2x−3 + 1 y = 2 x - 3 + 1. Exponential functions have a horizontal asymptote. The equation of the horizontal asymptote is y = 1 y = 1. Horizontal Asymptote: y = 1 y = 1. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step ...

8 months ago. Domain is all the values of X on the graph. So, you need to look how far to the left and right the graph will go. There can be very large values for X to the right. Range is all the values of Y on the graph. So, you look at how low and how high the graph goes.y = 1 2x+ 5 y = 1 2 x + 5. Use the slope-intercept form to find the slope and y-intercept. Tap for more steps... Slope: 1 2 1 2. y-intercept: (0,5) ( 0, 5) Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y …Slope: 1 2 1 2. y-intercept: (0,2) ( 0, 2) x y 0 2 2 3 x y 0 2 2 3. Plot each graph on the same coordinate system. y = −2x−3 y = - 2 x - 3. y = 1 2x+ 2 y = 1 2 x + 2. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.…

Reader Q&A - also see RECOMMENDED ARTICLES & FAQs. y-intercept: (0,4) ( 0, 4) Any line can . Possible cause: y2 − x2 1 = 1 y 2 - x 2 1 = 1. This is the form of a hyperbola. Use thi.