Quadratic Graph Transformations

• more narrow

• more wide

• reflect over x-axis

• reflect over y-axis

• more narrow

• more wide

• reflect over x-axis

• reflect over y-axis

Which function has a translation of 2 units right and a vertical stretch by a factor of 5?

• f(x)= 5(x - 2)²

• f(x) = 5(x + 2)²

• f(x) = (x - 2)² - 5

• f(x) = (x + 2)² + 5

• F

• G

• H

• J

If the blue graph is
f(x) = x² 
then the red must be...

• g(x) = x² - 5

• g(x) = x² + 5

• g(x) = (x - 5)²

• g(x) = (x + 5)²

If the blue graph is f(x), the red must be...

• g(x) = f(x + 3)

• g(x) = f(x - 3)

• g(x) = f(x) + 3

• g(x) = f(x) - 2

Which of the following is the correct equation for the given graph?

• f(x) = (x - 2)² - 1

• f(x) = (x + 2)² - 1

• f(x) = -(x + 2)² - 1

• f(x) = -(x - 2)² - 1

Tags

CCSS.HSF-IF.C.7A

• A

• B

• C

• D

Answer explanation

1. 1. Graph the parent function

2. 2. Graph the answer choices

3. 3. Which one matches the graph in the question

If the blue is f(x)=x^2, then the red must be

• g(x)=x²-5

• g(x)=x²+5

• g(x)=(x-5)²

• g(x)=(x+5)²

• It is reflected across the x-axis.

• It is reflected across the y-axis.

• It is shifted upwards.

• It is shifted downwards.