Parent Functions

Which parent function matches the graph?

• y = |x|
• y = ∛(x)
• y = x²
• y = a⋅b^x

Which parent function matches the graph?

• f(x) = x
• f(x)= x²
• f(x) = |x|
• f(x) = ab^x

Which parent function matches the graph? 

• f(x) = x
• f(x) = x²
• f(x) =√(x)
• f(x) =∛(x)

 $y=\sqrt{x-\frac{3}{2}}+2$  belongs to what family of functions?

• square root

• absolute value

• linear

• quadratic

Given the function  $y=\left(x+4\right)^2+2$  , what is the parent function?

•  $y=x^2$  

•  $y=a\left(x-h\right)^2+k$  

•  $y=mx+b$  

•  $y=0\left(x-0\right)^2+0$  

Write the equation that results if the parent absolute value function is shifted right 15 units, down 3 units, and reflected vertically.

• $y=-\left|x-15\right|-3$

• $y=-\left|x+15\right|-3$

• $y=\frac{1}{2}\left|x+3\right|-15$

• $y=\frac{1}{2}\left|x-3\right|-15$

• $y=\left|-x-15\right|-3$

Where is the vertex of  $y=3\left(x-26\right)^2+14$  ?

• (26, 14)

• (14, 26)

• (-26, 14)

• (3, 14)

• (3, 26)

In the image, what is the value of the maximum?

• $y=8$

• $x=-2$

• $\left(-2,8\right)$

• There is no maximum value

Which transformations are involved in the equation  $y=\frac{1}{2}\sqrt{x+1}-1$  ?

• Horizontal translation left

• Vertical shrink

• Vertical translation down

• Horizontal translation right

• Vertical stretch

What is the parent function for a cubic function?

• f(x)=x³
• f(x)=x
• f(x)=IxI
• f(x)=x²