Parent Function

Question 1

What does the parent function, absolute value look like

Answer 1

V shaped

Question 2

What does the parent function, Quadratic look like

Answer 2

U shaped

Question 3

What is the rule for the parent function, constant?

Answer 3

f(x)=1

Question 4

What is the rule for the parent function, quadratic?

Answer 4

f(x)=x^2

Question 5

What is the rule for the parent function, absolute value?

Answer 5

f(x)=|x|

Question 6

What is the rule for the parent function, linear?

Answer 6

f(x)=x

Question 7

What is the full equation that can help you?

Answer 7

y=-a(|x +- h|) +- k

Question 8

Consider the equation y=-a(|x +- h|) +- k, what is h for? And what directions can it go?

Answer 8

Horizontal transformation, it can go left (+) or right (-)

Question 9

Consider the equation, y=-a(|x +- h|) +- k, what is the k for? And what directions can it go

Answer 9

Vertical transformation, it can go up (+) or down (-)

Question 10

Consider the equation, y=-a(|x +- h|) +- k, what is the a for?

Answer 10

Vertical stretch or vertical shrink

Question 11

If a>1, what does that mean?

Answer 11

A vertical stretch by the factor of a

Question 12

if 0<a<1, what does that mean

Answer 12

A vertical shrink by the factor a factor of a

Question 13

If a>1, is the transformations getting narrower or wider?

Answer 13

Narrower

Question 14

if 0<a<1, is the transformation getting narrower or wider?

Answer 14

Wider

Question 15

if -f(x) what does that mean?

Answer 15

A reflection over the x-axis

Question 16

Graph this equation, f(x)=|x|

Question 17

Graph this equation, f(x)=x^2. Figure out what the parent functions are

Question 18

Graph f(x)=-3, Figure out what the parent functions are

Question 19

graph f(x)=x, figure out what the parent function are