Instructions: show your work & calculations step by step. 1. Find the closest point to the origin (0, 0) on the right of equation y = 6x + 8.

Q: Test the equation y = 5x2 - 1 for symmetry with respect tothe x-axis, the y-axis, and the origin.

A: we have to test the given equation for the symmetry with respect tothe x-axis, the y-axis, and the…

Q: Graph the following equations. State the domaln and range. 1) y = 3(x - 3)^2 - 8

A: As per our guidelines only one question can be solved. The solution is given below in the next step…

Q: 2. Tom throws a ball into the air. The ball travels on a parabolic path represented by the equation…

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Q: Sketch and identify the traces and the graph of the equation 36 y? = Z 16

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Q: Graph the equation below.  Make sure to show all work

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Q: Use your graphing calculator to graph y= ax2 for a = 1 /5, 1, and 5, then again for a =-1 /5, -1,…

A: Given: y=ax2 To graph y=ax2 for a=15, 1, and 5, then again for a=-15, -1, and -5.

Q: Match the portion of the graph with the corresponding equation that represents the number of…

A: We know that the general equation of the straight liney = mx + bwhere m = slopeb = constant

Q: Find the graph of the equation 4x 2 + y 2 = 4.

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Q: 6. Graph the equation y =

A: To plot the graph of the equation, substitute some arbitrary values of x in the equation and obtain…

Q: Step 6: Graph g(x) on the same set of axes in Step 3 part (b). The graphs should be symmetrical…

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Q: Owners of a recreation area are filling a small pond with water. They are adding water at a rate of…

A: Let's find.

Q: The equation y = - 0.2x² + 2x, where y is the height in meters and x is the horizontal distance in…

A: Drone 1 :  y = -0.2x2 + 2x…

Q: What is the equation of the graph? A. y = 4cos (3x) B. y= 4sin (3x) C. y = 3cos (4x) D. y= 3sin (4x)

A: Solve the following

Q: Graph the equation x – y – 3 = 0.

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Q: Graph. (x-3)2/4 + (y-9)2/16 =1

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Q: Determine the equation of the axis of symmetry, y = x2 - 4x - 12

A: If the Equation of a parabola is given by , then it's axis of symmetry is given by

Q: Francesca is modeling a subway line on the coordinate plane below. She places the first stop on her…

A: Introduction: A linear characteristic is defined as a characteristic with one or variables and no…

Q: 2. The graph of y = x² is transformed oy = 0.5x². Determine the coordinates to which the original…

A: Topic:- function

Q: Draw the Graph of the following equations: a) Y = 2x - 5 b) Y = ½ x^2 + 1

A: To draw the graph of the following equations.1 y=2x-52 y=12x2+1

Q: y² - 4x - 2y = 7

A: Introduction: If a parabola has a horizontal axis, the standard form of the parabola equation is (y…