Cumulative Activity Opener

What is the y-intercept?
f(x) = -2x² + 4x - 6

• (0, 6)
• (0, -6)
• (6, 0)
• (-6, 0)

What do we call the highest or lowest point of a quadratic?

• parabola
• vertex
• graph
• point

The standard form of a quadratic function is

• y = ax² + bx + c

• a(x - h)² + k

• y - y₁ = m(x - x₁)

• Ax + By = C

Find the vertex of

f(x) = -x² - 4x + 12

• (-2, 16)

• (2, 0)

• (2, 4)

• (-2, 4)

What is the vertex for the following equation?

y = 4x² - 8x + 9

• (4, -8)

• (0, 9)

• (-1, 21)

• (1, 5)

Which formula allows you to find the x-value of the vertex from a standard form equation?

•  $x=-\frac{b}{2a}$  

•  $x=\frac{\left(p+q\right)}{2}$  

•  $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$  

•  $x=h$  

What mathematical process did they use?

• Quadratic Formula
• Completing the Square
• Factoring
• Differentiation

What mathematical process did they use?

• Differentiation
• Quadratic Formula
• Factoring
• Completing the Square

Factor
v² - 6v + 9

• (v-3)²
• (v-6)²
• (v-9)(v+6)
• not factorable

Solve
x² + 2x - 24 = 0

• x = -6, x = 4
• x = 6, x = -4
• x = 12, x = -2
• x = 8, x = -3