Quadratic Equation

Which of the following equations matches standard form of a quadratic?

• ax + by = c
• y = a(x - h)² + k
• y = ax² + bx + c
• y = (x + a)(x + b) + c

Solve
3x² - 192 = 0

• x = -16, 16
• x has no real solutions
• x = -8, 8
• x = -64, 64

True or False
The discriminant is used to find the roots of a quadratic equation.

• True
• False

True or False
If the discriminant is greater than 0, there are 2 real solutions.

• True
• False

Solve by taking square roots:
4m² - 100 = 0

• m = -25, 25
• m = -10, 10
• m = -5, 5
• m has no real solutions

Find the number of real solutions.
x² + 5x + 7 = 0

• 0
• 1
• 2

Find the number of real solutions.
x² – 1 = 0

• 0
• 1
• 2

What is the vertex of
f(x) = 2(x - 5)² + 12

• (-5, -12)
• (5,-12)
• (5, 12)
• (-5, 12)

Convert the equation into vertex form.
y = x² + 4x

• y = (x+4)² - 4
• y = (x-2)² + 4
• y = (x+2)² - 4
• y = (x+2)²

What is the axis of symmetry?

• the slope of the graph
• the dividing line for a parabola
• a way to spin my pencil
• the x-axis