Horizontal Compression and Stretch

Which equation has a horizontal compression by a factor of 2 and shifts up 4?

• $f\left(x\right)\ =\ \left(\frac{1}{2}x+3\right)^2+4$

• $f\left(x\right)\ =\ \left(2x+3\right)^2+4$

• $f\left(x\right)\ =\ 2\left(\frac{1}{2}x+4\right)^2+4$

• $f\left(x\right)\ =\ \left(2x+4\right)^2+2$

Tags

CCSS.HSF.BF.B.3

Which equation has a flip over the y-axis and a horizontal stretch?

• $f\left(x\right)\ =\ -2\left(\frac{1}{2}x+3\right)^3+4$

• $f\left(x\right)\ =\ 2\left(-x+3\right)^3+4$

• $f\left(x\right)\ =\ 2\left(-\frac{1}{3}x+3\right)^3+4$

• $f\left(x\right)\ =\ 2\left(-3x+1\right)^3+4$

Tags

CCSS.HSF.BF.B.3

Which equation has a horizontal stretch, vertical compression, shift left and shift down?

• $f\left(x\right)\ =\ \frac{1}{2}\left|\frac{3}{2}x+3\right|^{ }-4$

• $f\left(x\right)\ =\ \frac{3}{2}\left(\frac{1}{2}x-3\right)^4+4$

• $f\left(x\right)\ =\ \frac{3}{2}\left(\frac{3}{2}x+3\right)^2-4$

• $f\left(x\right)\ =\ \frac{1}{2}\left(\frac{1}{2}x+3\right)^3-4$

Tags

CCSS.HSF.BF.B.3

Which equation has a horizontal shrink, vertical stretch, shift left and shift down?

• $f\left(x\right)\ =\ \frac{1}{2}\left|\frac{3}{2}x+3\right|^{ }-4$

• $f\left(x\right)\ =\ \frac{3}{2}\left(\frac{1}{2}x-3\right)^4+4$

• $f\left(x\right)\ =\ \frac{3}{2}\left(\frac{3}{2}x+3\right)^2-4$

• $f\left(x\right)\ =\ \frac{1}{2}\left(\frac{1}{2}x+3\right)^3-4$

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

af(x) is a...

• Vertical translation
• Horizontal stretch/compression
• Horizontal translation
• Vertical stretch/compression

Tags

CCSS.HSF.BF.B.3

Vertical stretch is af(x) when...

• a is greater than 0
• a is less than 0
• a is greater than 1
• a is a fraction/decimal

Tags

CCSS.HSF.BF.B.3

How did we transform from the parent function?
g(x) = -1/5(x - 1)² + 7

• reflection, vertical compression, horizontal right, vertical up
• vertical compression, horizontal shift left, vertical shift up
• reflection, horizontal shift right, vertical shift down
• no changes were made to y = x²

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

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

• reflection in x-axis and vertical shift down
• reflection x-axis and vertical stretch
• horizontal stretch
• reflection x-axis and vertical compression

Tags

CCSS.HSF.BF.B.3

If the graph of the parent function f(x) = x is shifted 7 units up and is horizontally compressed by a factor of 3, what is the function?

• g(x) = f(7x) + 3
• g(x) = 3f(x) - 7
• g(x) = f(3x) + 7
• g(x) = 7x - 3

Tags

CCSS.HSF.BF.B.3

How did the equation f(x) = x change if

g(x) = 1/2f(x) + 11

• Vertical stretch and shift up 11

• Horizontal shrink and shift down 11

• Vertical shrink and shift up 11

• Horizontal stretch and shift down 11

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7