transformations of parent graphs

Which equation shows a function that is translated left 4 and 7 up?

• y = |x + 4| + 7
• y = (x - 4)² + 7
• y = (x + 7)² - 4
• y = |x + 4| - 7

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

 If the blue graph is the parent function, what is the equation of the red (transformed) function?

• g(x)=x³+1
• g(x)=x³-1
• g(x)=(x-1)³
• g(x)=(x+1)³

Tags

CCSS.HSF.BF.B.3

If f(x) is the red graph and g(x) is the blue graph, what transformation changes f(x) to g(x)?

• translation

• rotation

• reflection

• vertical stretch

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.B.6

Which function DOES NOT represent a horizontal shift of the function f(x)=x²

• g(x)= x²+3

• g(x)= (x+3)²

• g(x)= (x-3)²

• g(x) =(x-2)²

Tags

CCSS.HSF.BF.B.3

Tell how the function transformed from y =x²
to y = -2x²

• Translated left 2 units
• Reflected over x-axis
• Stretched vertically and reflected over x-axis
• Compressed vertically and reflected over the x-axis

State the equation of the parent function for the table of values.

• $f\left(x\right)=x^3$

• $f\left(x\right)=\left|x\right|$

• $f\left(x\right)=\sqrt{x}$

• $f\left(x\right)=x^{\frac{1}{3}}$

State the equation of the parent function for the table of values.

• $f\left(x\right)=x^{ }$

• $f\left(x\right)=\left|x\right|$

• $f\left(x\right)=\sqrt{x}$

• $f\left(x\right)=x^2$

State the equation of the parent function for the table of values.

• $f\left(x\right)=x^3$

• $f\left(x\right)=\frac{1}{x}$

• $f\left(x\right)=\sqrt{x}$

• $f\left(x\right)=x^2$

• $f\left(x\right)=x^{\frac{1}{3}}$

Describe the transformation that is applied to the parent function.

f(x) = 3 Ix+8I

• Stretches by 3, Shifts left 8

• Stretches by 3, Shifts right 8

• Stretches by 3, Shifts up 8

• Stretches by 3, Shifts down 8

Describe the transformation that is applied to the parent function. 
f(x) =  (1/2) Ix-1I -1

• Compresses by (1/2), Shifts left 1, down 1
• Compresses by (1/2), Shifts right 1, down 1
• Compresses by (1/2), Shifts left 1, up 1
• Compresses by (1/2), Shifts right 1, up 1

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2