Transforming Parabolas

Describe the transformations of f(x) when compared to the parent function.
f(x)=x²+5

• horizontal shift right 5 units
• horizontal shift left 5 units
• vertical shift up 5 units
• vertical shift down 5 units

Describe the transformations of f(x) when compared to the parent function.
f(x)=(x+7)²

• horizontal shift left 7 units
• horizontal shift right 7 units
• vertical shift up 7 units
• vertical shift down 7 units

In the equation f(x)=5(x+3)²-10 what effect does the 5 do when compared to the parent function?

• Vertical stretch by a factor of 5
• Vertical shrink/compress by a factor of 5
• Reflect over x-axis
• Vertical shift up 5 units

Which transformation transforms the graph of
f(x) = x² to the graph of g(x) = (x + 4)²?

• a vertical shift 4 units up
• a vertical shift 4 units down
• a horizontal shift 4 units to the left
• a horizontal shift 4 units to the right

Which of the following describes the transformations done to the quadratic parent function of f(x) = x²  to obtain g(x) = 2x² + 4 ?

• Vertical Stretch by a factor of 2 and vertical shift up 4 units
•  Vertical Shrink/Compress by a factor 2 and vertical shift up 4
• Vertical Stretch by a factor of 2 and horizontal shift left 4 units
• Vertical Shrink/Compress by a factor of 2 and horizontal shift right 4 units

Describe the transformation of
f(x) = x² -8 when compared to the parent function

• Vertical shift sp 8 units
• Vertical shift down 8 units
• Horizontal shift right 8 units
• Horizontal shift left 8 units

What is the equation of the quadratic function obtained from vertically shrinking/compressing the parent function by 3/5 and then shifted up 8 units?

• f(x)= 3/5(x-8)²
• f(x)=3/5x²+8
• f(x)=x²
• f(x)=3/5x²-8

What is the equation of the quadratic function obtained from horizontally shifting the parent function 17 units left and then reflecting across the x-axis?

• f(x)= -x²-17
• f(x)= -(x-17)²
• f(x)= -(x+17)²
• f(x)= -x²+17

What is the equation of the quadratic function obtained from vertically stretching the parent function by a factor of 2 and then vertically shifting up 3 units?

• f(x)= 2(x-3)²
• f(x)= 2(x+3)²
• f(x)= 2x²+3
• f(x)= (x-2)²+3

What is the equation of the quadratic function obtained from vertically shrinking/compressing the parent function by a factor of 0.5 and then reflecting across the x-axis?

• f(x)= 0.5x²
• f(x)= -0.5x²
• f(x)= -(x-0.5)²
• f(x)= x²+0.5