Which functions have a maximum and are transformed to the left and down of the parent function, f(x) = x2? Check all that apply.
p(x) = 14(x + 7)2 + 1
q(x) = –5(x + 10)2 – 1
s(x) = –(x – 1)2 + 0.5
g(x) = 2x2 + 10x – 35
t(x) = –2x2 – 4x – 3

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

Given

p(x) = 14(x + 7)² + 1

q(x) = –5(x + 10)² – 1

s(x) = –(x – 1)² + 0.5

g(x) = 2x² + 10x – 35

t(x) = –2x² – 4x – 3

How to find it?

Property of the function

We know that if a constant is added to the function it will go upward, similarly, If we subtract a constant then it will go downward.

p(x) = 14(x + 7)² + 1, It will go upward by 1 unit.
q(x) = –5(x + 10)² – 1, It will go downward by 1 unit.
s(x) = –(x – 1)² + 0.5, It will go upward by 0.5 unit.
g(x) = 2x² + 10x – 35 = (x+5/2)² - 23.75, It will go downward by 23.75 unit.
t(x) = –2x² – 4x – 3 = -(x + 1)² - 0.5, It will go downward by 0.5 unit.

More about the function link is given below.

https://brainly.com/question/5245372

Which functions have a maximum and are transformed to the left and down of the parent function, f(x) = x2? Check all that apply. p(x) = 14(x + 7)2 + 1 q(x) = –5(x + 10)2 – 1 s(x) = –(x – 1)2 + 0.5 g(x) = 2x2 + 10x – 35 t(x) = –2x2 – 4x – 3

Respuesta :

B & E

What is the function?

How to find it?

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Which functions have a maximum and are transformed to the left and down of the parent function, f(x) = x2? Check all that apply.
p(x) = 14(x + 7)2 + 1
q(x) = –5(x + 10)2 – 1
s(x) = –(x – 1)2 + 0.5
g(x) = 2x2 + 10x – 35
t(x) = –2x2 – 4x – 3