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).

Respuesta :

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

The expression for q(x) which shows p(x) translated 10 units up is 0.005(x - 40)² + 70

What is a function?

A function is an expression that shows the relationship between two or more variables and numbers.

Given that p(x) is translated 10 units up to create function q(x). Hence:

q(x) = p(x) + 10

q(x) = 0.005(x - 40)² + 60 + 10 = 0.005(x - 40)² + 70

The expression for q(x) which shows p(x) translated 10 units up is 0.005(x - 40)² + 70

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