Quadratic Transformations

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

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

Describe the transformations of g(x)=f(x+7) when compared to the parent function f(x)=x².

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

In the equation g(x)=5f(x), what effect does the 5 do when compared to the parent function f(x)=x²

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

If given the equation y = 3(x + 5)² - 4, what is the vertex of the parabola?

• (5, -4)
• (-5, -4)

If the blue is f(x)=x^2, the red must be

• g(x)=f(x+3)

• g(x)=f(x-3)

• g(x)=f(x)+3

• g(x)=f(x)-2

Which of the following quadratic functions has the WIDEST graph?

• f(x)= -3x²
• h(x)= 2x²
• g(x)= ¼x²  
• p(x)= 4x²

A parabola has a vertex at (-3,2).
Where is the axis of symmetry?

• y = -2
• x = 3
• x = -3
• y = 2

When compared to the parent graph f(x)=x², does the graph of g(x) = -f(x)+ 5 open up or down?

• up

• down

If the parent function, f(x)=x², transformed, what is the equation of the quadratic function obtained from shifting up 8 units?

• g(x)= f(x-8)

• g(x)=f(x)+8

• g(x)=x²

• g(x)=f(x)-8