For the following equation, find the coordinates of the vertex and indicate whether the vertex is the highest point or the lowest point in the graph.

Q: For Exercise, graph the equations and functions. x2 = 4(y − 2)

A: To sketch the graph of the given equation.

Q: Graph the equation by using properties.   y = −x2 + 14x − 48

A: The objective is to graph the given equation

Q: solve the equation and show solution on a graph 3x+2y=1 2x-y=10

A:

Q: For the following equation, find three ordered pair solutions by completing the table. Then use the…

A:

Q: Graph the given equation. -5 y -X + 5 6

A:

Q: Find the dependent value for the graph y = 15 – 3x when the independent value is 2. y [?]

A: We have to find the y value

Q: y = у%3 х4 — 2х2 —1

A: Let us plot the graph of the following.

Q: Graph the equation y=x2+14x+48y=x2+14x+48 on the accompanying set of axes. You must plot 5 points…

A: Solution: The objective is to graph the given function

Q: Q6-Sketch the graph of the given equation- 25(x-3)+10(y+2) =100 (acb)

A: Topic = Ellipse

Q: Which graph represents the solution of y Sx+3 and y 2-2r- 2?

A: Given,            y ≤ x + 3  and  y≥ -2x - 2

Q: y=3x + 4 y--1/2x-3 solution (, )

A:

Q: Graph the equation by using properties. x = y2 − 2y − 3

A:

Q: 2) Graph the equation 3 x + 4 y = 12.

A: The given equation is  3 x + 4 y = 12

Q: Find an equation for the line that passes through the points of intersection of the graphs of y = x²…

A: we have given equations of graphs y=x2+2x and y=-x2 At first we will find the point of intersection…

Q: The pre image in red has been transformed to the image in green. Please write the equation of both…

A: The given graph is a function of tanh(x). The graph has a vertical shift of 2 and horizontal shift…

Q: Match the equation with its graph. y = x- x 2.5 15 0.5

A:

Q: Graph the equation by using properties. x = (y + 2)2 + 5   It is the same question I asked before,…

A:

Q: Graph the equation and identify the x and y-intercep - 4y=3x- 12 Part 1 of 2

A:

Q: Graph the equation (x - 3)2 + y2 = 25

A:

Q: Graph the equation by using properties. x = (y + 3)2 + 2

A:

Q: Match the equation with its graph. x2 + y2 + z2 = 25

A: According to question,Given equation,x2 + y2 + z2 = 25

Q: y= 2x + 3 y= %x- 2 solution (, )

A: see 2nd step.

Q: Find the slope and the y@intercept of the line whose equation is 3x + 6y - 12 = 0. Then use the…

A: Given equation:                           3x+6y-12=0

Q: Write the following Equation in standard form and sketch its graph. Show your solution. a. 9x² +…

A: Given are the following equations: 9x2+72x-64y2+128y+80=0 y2+56x-18y+417=0 x2+4x+16y2-128y+292=0…

Q: y= 4x -1 y= -1/3x -1 solution (, )

A: Given that two equation first we find value of x and y by using eliminate method and after we draw…

Q: Match the equation with its graph. 4x2 - y2 + 4z = 0 y N +++ N

A:

Q: 4. Find the solution set for the equations and sketch the graph. (3x - y =-2) l2x² – 7 = 0S

A: The general form of the equation of the line is given by y=mx+b, where m is the slope and b is the y…

Q: Graph the equation by using properties.   x = (y + 3)2 + 4

A: first we have to identify the conics from the given equation  then have to graph the conics

Q: Graph the equation by using properties. y = −x2 + 8x − 15

A: Given equation  y=-x2+8x-15  Here a<0 then parabola is cancave down

Q: Find the coordinates of the x-intercepts of the graph of the equation. (If an answer does not exist,…

A: Given, the graph of the equation

Q: Graph the equation (x - 3)2 + y2 = 25.

A: To graph the equation: x-32+y2=25 Solution: Standard equation of circle is given as: x-h2+y-k2=r2,…

Q: The graph of y = x² is reflected in the y-axis, translated 7 units to the right and 3 unit up. What…

A: Reflection about y-axis: Let f(x) be a function. The equation of the reflection of f(x) about y-axis…

Q: Q2.) Graph the two equations x+y= 0 , and y = - (x -1)? ( 10 pt and find the points in which the…

A:

Q: Find the solutions to the equation by reading the graph. x2-4x-12 = 0 y=x-- 4x-12

A: Given,

Q: Match the equation with its graph. x2 y2 z2 + = 1 9 9 16 4 -5

A:

Q: Consider the following equation in standard form: x2/9 + y2/25 = 1. The value of a2 is ________, so…

A: Given equation of ellipse x29+y225=1   .....1

Q: graph the two equations x+y= 0 , and y = - (x -1)2 and find the points in which the graphs…

A: Given Equations are x+y=0, y=-x-12 Graph the given equations: Red line indicates x+y=0 Blue line…

Q: Sketch the graph of the equation, and label the x- and y-intercepts

A: Sketch the graph of equation y=-x2-2x+3. Find the x- and y-intercepts. x-intercept is the point on…

Q: 22 – 9x? = 1 4.

A:

Q: Y - (4z - y+ 1) = 0 y(0) = 2 %3D

A:

Q: Find the coordinates of the x-intercepts of the graph of the equation. (If an answer does not exist,…

A:

Q: y = x² /(x + 1)

A:

Q: Write the Equation in standard form and sketch its graph. Show your solution. x² + 4x + 16y² – 128y…

A: Given the equation: x2+4x+16y2-128y+292=0

Q: Graph the equation by using properties. x = 3(y + 1)2 − 3

A: Consider the equation  x = 3(y + 1)2 − 3

Q: Graph the two equations x+y= 0, and y = - (x-1) and find the points in which the graphs intersect

A: 1. Given x+y=0y=-xtf x=0,y=0if x=1 ,y=-1if x=2,y=-2Graph passing through origin .2. y=-x-12if…

Q: x - 4x + 4 = 0 %3D MY 2 4

A: From the given graph             when x =2 , y= 0 thus x=2 is the solution of the given equation.

Q: Use the graph to determine the solution to the equation -0.1x2 +14 =0.5x+9 y=-0.1x + 14 y = 0.5x + 9

A: Given that:

Q: solve the equation and show your solution on the graph 3x+2y=1 2x-y=10

A: The given system of equations is, 3x+2y=12x-y=10 Solve the system as follows. From the second…

Q: Graph the equation by using properties.   x = y2 − 2y − 8

A:

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.