Algebra_164

Select the correct answer for the quadratic below:
 $y=\frac{1}{2}\left(x+5\right)^2+3$  

• Vertical stretch (Skinny) AND reflected (Facing Downward)

• Vertical stretch (Skinny)

• Vertical compression (Wide) AND reflected(Facing Downward)

• Vertical compression (Wide)

Select the correct answer for the quadratic below:
 $y=8\left(x+5\right)^2+3$  

• Vertical stretch (Skinny) AND reflected (Facing Downward)

• Vertical stretch (Skinny)

• Vertical compression (Wide) AND reflected (Facing Downward)

• Vertical compression (Wide)

If the function f(x) = x² is changed so that a new function is created, g(x) = 5x², how does g(x) compare to f(x)?

• The graph of g(x) is wider than the graph of f(x)

• The graph of g(x) is narrower than the graph of f(x)

• The graph of g(x) is shifted 5 units up above f(x)

• The graph of g(x) is shifted 5 units down below f(x)

• F
• G
• H
• J

Match the description to its equation.
Stretches by a factor of 3

• A
• B
• C
• D

The graph shows the function f(x)=x² in blue and another function g(x) in red. Which could be the equation for g(x)?

• A. g(x)=3x²

• B. g(x)=-3x²

• C. g(x) = x² - 3

• D. g(x) = (x-3)²

Which function below is the vertical compression by .5 of the parent function,  $y\ =\ x^2$  ?

• $y=\left(x-.5\right)^2$

• $y=\left(.5x\right)^2$

• $y=x^{2\ }+.5$

• $y=.5x^2$

How did we transform from f(x) =x²  to g(x) = 3x²

• vertical shift down

• vertical stretch

• horizontal stretch
• vertical compression

Match the description to its equation.

Vertical stretch by a factor of 3

• A

• B

• C

• D

The function f(x) = x² is changed to g(x). Which equation would correctly represent g(x)?

• g(x)=2f(x)

• g(x)=0.5f(x)

• g(x)=f(x) + 2

• g(x)=f(x + 2)