Precalculus 1.4-1.5 Review

Which parent function matches the graph?

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

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What type of function is shown?

• linear
• quadratic
• square root
• absolute value

Tags

CCSS.HSA.REI.D.10

Which parent function matches the graph?

• f(x) = √(x)
• f(x) = ∛(x)
• f(x) = |x|
• f(x) = a⋅b^x

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Domain is: 

• All x values, from left to right.
• All y values, from bottom to top.
• All x values from bottom to top. 
• All y values from left to right.

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

Range is:

• All x values, from left to right.
• All y values, from left to right. 
• All y values, from bottom to top.
• All x values, from bottom to top.

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

• Left 2, Down 2, Vertical Stretch
• Right 2; Up 1; 
• Vertical Stretch; Right 2; Up 1
• Left 2; Down 2;

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

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

• $y=-\left|x-15\right|-3$

• $y=-\left|x+15\right|-3$

• $y=\frac{1}{2}\left|x+3\right|-15$

• $y=\frac{1}{2}\left|x-3\right|-15$

• $y=\left|-x-15\right|-3$

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?

•  $a=4;\ h=-2;\ k=3$  

•  $a=2;\ h=4;\ k=-3$  

•  $a=4;\ h=2;\ k=3$  

•  $a=3;\ h=2;\ k=-4$  

Tags

CCSS.HSF.BF.B.3

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

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Given
f(x) = 3x² + 7x and g(x) = 2x² - x - 1, find (f + g)(x).

• 11x² - 1
• 5x⁴ + 6x² - 1
• 5x² + 6x - 1
• 5x² + 8x - 1

Tags

CCSS.HSA.APR.A.1