e blank. The graph of y = (x – 3)² is shown in BLUE. It is %3D translated 3 units to the right compared to the graph of y =x (RED). Given that the equation of a parabola can be written as y = (x – h)², the value of h in this case is

Q: . Sketch the graph of y = m(x) in Figure 2. FIGURE 2. Graph of y = m(x) r- 3, rS-1 m(x) = 1< x < 5 2

A:

Q: directrix is x=2 and has a focus at (4,9).

A: Here we apply distance of any point of parabola from directrix and focus is same. We took a general…

Q: - Which steps transform the graph of y=x² to y = -(x − 3)² + 2?

A: 1). When the graph of the function  is reflected on the x-axis then the transformed function is 2).…

Q: The graph of y = 2× is translated 6 units to the right and then 8 units upward. Oy = 2x + 8 + 6 Oy =…

A: The function is given by y = 2x To evaluate : The function obtained by translating the graph of the…

Q: solve for the focus of the parabola 8y = -x2 + 4x + 36

A: Solution:-     As we know,           The equation of a parabola in a vertex form is…

Q: Sketch the graph of: (5.1) у- cot ( 2x - (5.2) у %3D 3 seес ( х + 6.

A: Topic-curve of function

Q: A trough is 7 feet long and 1 foot high. The vertical cross-section of the trough parallel to an end…

A: The given function is  and the interval is .The current situation can represents as shown below.

Q: Sketch the graph of: (2x -) (5.1) у %3 сot (5.2) у %3D 3 seс ( x + 6.

A: (5.1) Given that                  y=cot2x-π2 Graph:

Q: 1. Determine the graph of which function match to equation y = (0.5).

A:

Q: 4. Graph each equation (x- 3)2 + (y+ 2)? = 4

A: To Graph the equation :

Q: The graph of y = x' is shift right by 2 units, reflected across the x-axis, then shift down by 3…

A:

Q: A trough 4 feet long and 1 foot high is filled with water. The vertical cross-sections of the trough…

A: Given that    A trough 4 feet long and 1 foot high is filled with water. The vertical cross-sections…

Q: Identify the correct equation for the given graph below: y = 12x³(x-2) Oy = 12(x-2)²(x)² Oy =…

A: Given query is to find the equation of the function.

Q: Sketch the domain and three-dimensional (3D) graph in first quadrant of the following function: z2 =…

A: This is a problem of 3 dimensional equation. Multi-variable calculus.

Q: Question: Which graph represents  y= 3/2x -1                 (y = 3 / 2x - 1)

A: y = 3/2x-1

Q: Graph the following equation y-3= 3/2 (x+1)

A: The given equation is y-3=32x+1 To find: Graph of the given equation

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.