Graphing Transformations of Quadratic Functions

• Vertical stretch by 3, reflection in x-axis

• Horizontal stretch by 3, reflection in x-axis

• Horizontal shrink by 1/3, reflection in y-axis

• Vertical stretch by 3, reflection in y-axis

If the parent function of f(x) is p(x) = x², then the graph of the function

f(x) = (x - k)² + 5, where k > 0, would be a shift of

• k units to the left and a move of 5 units up

• k units to the left and a move of 5 units down

• k units to the right and a move of 5 units up

• k units to the right and a move of 5 units down

How does changing the value of "c" affect the parabola in a coordinate plane?

• It changes the width of the parabola.

• It changes the vertical direction the parabola opens.

• It changes the horizontal direction the parabola opens.

• It shifts the parabola vertically.

What steps transform the graph y = x² to y = (x - 4)² + 1?

• Horizontal shift 4 units right and vertical shift 1 unit down

• Horizontal shift 4 units right and vertical shift 1 unit up

• Horizontal shift 4 units left and vertical shift 1 unit down

• Horizontal shift 4 units left and vertical shift 1 unit up

In vertex form, what effect does the k have on the graph?

• Translates Up/Down

• Translates Left/Right

• Narrows/Widens Parabola

• Flips it

• Up 4 units
• Down 4 units
• Right 4 units
•  Left 4 units

Which of the following correctly describes one of the transformations from y=x^2 to y=-\frac{1}{2}\left(x+5\right)^2-3 ?

• dilation where growth is 5 more than normal
  

• dilation where growth is 3 less than normal

• dilation where growth is one half of normal

• dilation where growth is twice normal

Identify A, C, and D of the transformed function c(x).

• A = 1, C = -2, D = -10
  

• A = -1, C = 2, D = 10
  

• A = -1, C = 2, D = -10
  

• A = -1, C = -2, D = -10
  

Write the quadratic function that is shifted down 2 units, shifted right 4 units, and a reflection over the x-axis.

• $y=-\left(x-4\right)^2-2$
  

Describe the transformation: f(x) = (x)²+6

• left 6

• right 6

• up 6

• down 6