Function p (x), shown below, is translated 10 units up to create function q (x).

p (x) = 0.005 (x-40) ^2 + 60

Fill in the values of a, h, and k to write function q (x).

Question

Melanie Murillo

Mathematics

10 October, 02:28

Function p (x), shown below, is translated 10 units up to create function q (x).

p (x) = 0.005 (x-40) ^2 + 60

Fill in the values of a, h, and k to write function q (x).

+2

Answers (1)

Know the Answer?

Arturo Bradley · Answer 1

Answer: q (x) = 0.005 (x - 40) ² + 70

Step-by-step explanation:

f (x) = a (x - h) ² + k where a is the vertical stretch and (h, k) is the vertex.

Which coordinate shifts the graph up? The y-coordinate for the vertex is k.

p (x) = 0.005 (x - 40) ² + 60

q (x) = 0.005 (x - 40) ² + 60 + 10

= 0.005 (x - 40) ² + 70

Function p (x), shown below, is translated 10 units up to create function q (x).p (x) = 0.005 (x-40) ^2 + 60Fill in the values of a, h, and k to write function q (x).

Function p (x), shown below, is translated 10 units up to create function q (x).

p (x) = 0.005 (x-40) ^2 + 60

Fill in the values of a, h, and k to write function q (x).