Alg2 Semester Review - Spring 2021

Which parent function matches the graph?

• y = |x|
• y = x
• y = x²
• y = 2^x

What type of function is shown?

• linear
• quadratic
• square root
• absolute value

What is the name of this parent function?

• Parabola

• Rational Function

• Ellipse

• Cubic

What parent function matches the graph ?

• y = 2^x

• y = log(x)

• y = x²

• y = √x

What parent function matches the graph?

• y=x³

• y= ∛(x)

• y= x

• x=|x|

What is the range of the graph ?

• Range: (0, +∞)

• Range: (-∞, 0)

• Range: (-∞, +∞)

• Range: [0, +∞)

Which functions have a domain of all real numbers (-∞, +∞)?

• Linear, cubic, and square root

• Linear, quadratic, absolute value, and cubic

• Linear, cubic and rational

• Linear, quadratic, absolute value, cubic, rational and exponential

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

If  $f\left(x\right)=a\left(x-h\right)^2+k$  has a horiz. shift of -2, a vertical shift of +3 and a vertical stretch of 4, what are the values of a, h, and k?

•  $a=4;\ h=-2;\ k=3$  

•  $a=2;\ h=4;\ k=-3$  

•  $a=4;\ h=2;\ k=3$  

•  $a=3;\ h=2;\ k=-4$  

Name the parent function.

• square root
• quadratic
• cubic
• exponential