Quadratic Functions and Transformations

• up 3

• down 3

• right 1

• left 1

• across x axis

• upward

If the blue graph is
f(x) = x² 
then the red must be...

Mathematical Equivalence

ON

• compress

• stretch

Match the description to its equation.Moves right 7 (a)  

• A

• B

• C

• D

The graph of quadratic parent function f was transformed to create the graph of e(x). Which two equations represent the translation on the graph? (Place the f(x) version in the second spot).

Tags

AI.9.6

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

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

• g(x)=(x+3)²

• g(x)=(x-3)²

• g(x)=x²+3

• g(x)=x²-2

Which of the following quadratic functions has the WIDEST graph?

• f(x)= -3x²

• h(x)= 2x²

• g(x)= ¼x²  

• p(x)= 4x²

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

• (5, -4)

• (-5, -4)

• (-15, -4)

• (15, -4)

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

• y = -2

• x = 3

• x = -3

• y = 2