Graphing quadratic functions

• A = 1, C = -2, D = -10
  

• A = -1, C = 2, D = 10
  

• A = -1, C = 2, D = -10
  

• A = -1, C = -2, D = -10
  

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

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

• $y=\left(x-4\right)^2-2$
  

• $y=-\left(x-2\right)^2-4$
  

• $y=-\left(x-4\right)^2-2$
  

• $y=-\left(x+4\right)^2+2$
  

y = ax² + bx + c

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.

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

• left 6

• right 6

• up 6

• down 6

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

Identify all true transformations from the parent function y=x².

f(x) = -2(x + 1)² - 5

• Reflected over the x-axis

• Translated

• Vertically Stretched

• Vertically Compressed

• reflection
• horizontal compression
• horizontal stretch
• translate right
• translate down
• rotation
• translate left
• translate up

Which of the following occurs when $b<0$  ?

• reflection across the x-axis

• horizontal compression

• horizontal stretch

• reflection across the y-axis

Which transformation will occur if f(x) = x² is replaced with 2⋅f(x)?

• Wider

• Narrower

• Vertical translation up by 2 units.
• Reflection across the x-axis.