Quadratic Functions

Let the graph of g be a translation 7 units right and a reflection of the graph of f(x) = x². Write a rule for g.

• g(x) = -(x - 7)²

• g(x) = (x - 7)²

• g(x) = -(x + 7)²

• g(x) = (x + 7)²

Which of the following is a quadratic function that has a vertex at (2, -7) and opens up?

Which of the following is a quadratic function that has a vertex at (0, 10) and opens down?

Does this graph in the back have maximum or minimum value?

• maximum

• minimum

• neither

• both

What is the axis of symmetry for the following equation?
y=4x²-8x+9

• x=-8

• x=1

• x=-1

• x=2

Complete the square for
x² + 12x + ____

• x² + 12x + 144

• x² + 12x + 36

• x² + 12x - 36

• x² + +12x - 144

Which equation best represents the graph?

• y = 2(x - 4)² + 5

• y = 2(x + 4)² + 5

• y = -2(x - 4)² + 5

• y = -2(x + 4)² + 5

Find the vertex of
f(x) = -x² - 4x + 12.

• (-2, 16)

• (2, 0)

• (2, 4)

• (-2, 4)

The solutions of a quadratic equation are known as the _____.

• Vertices

• Roots

• Squares

• Formulas

What is the equation for the axis of symmetry of
f(x)= (x +1)² + 5

• x = 1

• x = -1

• x = -5

• x = 5