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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