Vertical Stretch & Compress

Does the equation vertically stretch, compress, or reflect?

 $f\left(x\right)=0.75x^2$  
*Always compare to the parent function (graph first)*

• Stretch by a factor of 2

• Compress by a factor of 0.75

• Reflect across the x-axis

• Both stretch by a factor of 2 and reflect across the x-axis

Tags

CCSS.HSF.BF.B.3

Does the equation vertically stretch, compress, or reflect?

 $f\left(x\right)=\ 2x^2$  
*Always compare to the parent function (graph first)*

• Stretch by a factor of 2

• Compress by a factor of 2

• Reflect across the y-axis

• Both Stretch by a factor of   $\frac{1}{2}$  & Reflect across the x-axis

Tags

CCSS.HSF.BF.B.3

Does the equation vertically stretch, compress, or reflect?
 $f\left(x\right)=-x^2$  
*Always compare to the parent function (graph first)*

• Stretch by a factor of 2

• Compress by a factor of  $-2$  

• Reflect across the x-axis

• Both Compress by 2 and Reflect across the x-axis

Tags

CCSS.HSF.BF.B.3

Does the equation vertically stretch, compress, or reflect?
 $f\left(x\right)=-5x^2$  
*Always compare to the parent function (graph first)*

• Stretch by a factor of 5

• Compress by a factor of  $\frac{5}{2}$  

• Reflect across the x-axis

• Both Stretch by a factor of 5 & Reflect across the x-axis

Tags

CCSS.HSF.BF.B.3

Does the equation vertically stretch, compress, or reflect?
 $f\left(x\right)=\frac{1}{4}x^2$  
*Always compare to the parent function (graph first)*

• Stretch by a factor of  $\frac{1}{4}$  

• Compress by a factor of  $\frac{1}{4}$  

• Reflect across the x-axis

• Both Compress by a factor of 2 & Reflect across the x-axis

Tags

CCSS.HSF.BF.B.3

Does the equation vertically stretch, compress, or reflect?
 $f\left(x\right)=0.5x^2$  
*Always compare to the parent function (graph first)*

• Stretch by a factor of 0.5

• Compress by a factor of 0.5

• Reflect across the x-axis

• Both Compress by a factor of 0.5 & Reflect across the x-axis

Tags

CCSS.HSF.BF.B.3

Does the equation vertically stretch, compress, or reflect?
 $f\left(x\right)=10x^2$  
*Always compare to the parent function (graph first)*

• Stretch by a factor of 10

• Compress by a factor of 2

• Reflect across the x-axis

• Both Compress by a factor of 10 & Reflect across the x-axis

Tags

CCSS.HSF.BF.B.3

Does the equation vertically stretch, compress, or reflect?
 $f\left(x\right)=-7x^2$  
*Always compare to the parent function (graph first)*

• Stretch by a factor of 7

• Compress by a factor of  $-7$  

• Reflect across the x-axis

• Both Stretch by a factor of 7 & Reflect across the x-axis

Tags

CCSS.HSF.BF.B.3

Does the equation vertically stretch, compress, or reflect?
 $f\left(x\right)=\frac{1}{7}x^2$  
*Always compare to the parent function (graph first)*

• Stretch

• Compress

• Reflect

• Both Compress & Reflect

Tags

CCSS.HSF.BF.B.3

What is the parent function of a quadratic?

• $y=x^2$

• $y=x$

• $y=\sqrt{x}$

• $y=\left|x\right|$

Tags

CCSS.HSF.IF.C.7