Question

TIMED HELP ASAP PLS

Suppose you have the graph of y = (x - 3)2 + 5.

a. If you translate the parabola to the right 2 units and down 7 units, what is the equation of the new parabola in vertex form?

b. If you translate the original parabola to the left 2 units and up 7 units, what is the equation of the new parabola in vertex form?

c. How could you translate the new parabola in part (a) to get the new parabola in part (b)?

A. a. y = (x - 1)2 - 2
b. y = (x - 12 + 12
c. left 0 units, down 14 units

B. a. y = (x - 5)2 + 12
b.y = (x - 1)2 - 12
c. left 4 units, down 24 units

C. a. y = (x - 5)2 - 2
b.y = (x - 1)2 + 12
c. left 4 units, up 14 units

Answer 1

To translate the given parabola to the right 2 units and down 7 units, the equation in vertex form would be y = (x - 5)² - 2. To translate the given parabola to the left 2 units and up 7 units, the equation in vertex form would be y = (x - 1)² + 12. To move the new parabola in part (a) to the new parabola in part (b), it needs to be moved left 4 units and down 14 units.

Step-by-step explanation:

a. To translate the parabola to the right 2 units and down 7 units, we need to subtract 2 from the x-coordinate and subtract 7 from the y-coordinate. The new equation of the parabola in vertex form is y = (x - 5)² - 2.

b. To translate the parabola to the left 2 units and up 7 units, we need to add 2 to the x-coordinate and add 7 to the y-coordinate. The new equation of the parabola in vertex form is y = (x - 1)² + 12.

c. To translate the new parabola in part (a) to get the new parabola in part (b), we need to move left 4 units and down 14 units.

Answer 2

a. y = (x − 5)^2 − 2

b. y = (x − 1)^2 + 12

c. left 4 units, up 14 units