Quadratics

If the discriminant is zero, you will have...

• 2 imaginary (complex)

• 2 real and rational solutions

• 1 real and rational (double root) solution

• 2 real and irrational solutions

If the discriminant is a perfect square, you will have...

• 2 real and rational solutions

• 2 real and irrational solutions

• 1 real and rational (double root) solution

• 2 imaginary (complex) solutions

If the discriminant is negative, you will have...

• 2 real and rational solutions

• 2 real and irrational solutions

• 2 imaginary (complex) solutions

• 1 real and rational (double root) solution

What is the vertex form of a quadratic function?

• f(x) = 2a(x-h)² + k

• f(x) = a(x-h)² + k

• f(x) = (x+h)² + k

• f(x) = a(x-h) - k

Identify the vertex of f(x) = -2(x+1)² + 3

• (-2, 3)

• (3, 1)

• (-1, -3)

• (-1, 3)

What steps transform the graph y = x² to y = 2(x+2)² - 5?

• Shrink by 2, translate 2 units left and 5 units down

• Stretch by 5, translate 5 units left and 2 units down

• Stretch by 2, translate 2 units left and 5 units down

• Shrink by 5, translate 2 units left and 2 units down

Does y = -4x² have a maximum or minimum value?

• maximum

• minimum

If the discriminant is not a perfect square, then you will have...

• 2 real and rational solutions

• 2 real and irrational solutions

• 2 imaginary (complex) solutions

• 1 real and rational (double root) solution

Identify the vertex of f(x) = 5(x+6)² - 7

• (5, 6)

• (5, -6)

• (6, -7)

• (-6, -7)

What is the equation of this graph?