Quadratic Equation Standard Form

Presented here, is a parabola. Use key information obtained from the graph to write a). The vertex equation that is modeled by the graph. b). The equivalent standard equation that is modeled by the graph. Write your answers in the spaces provided below.

The standard form of a quadratic function is

• ax² + bx + c

• a(x - h)² + k

• y - y₁ = m(x - x₁)

• Ax + By = C

Identify A, B, and C if y = 3x² + 5x - 8

• A = 3, B = 5, C = -8

• A = 3, B = -8, C = 5

• A = 3x², B = 5x, C = -8

• A = 3x² , B = -8, C = 5x

What is c in the following equation?
y=ax²+bx+c

• Zeroes

• Axis of Symmetry

• Direction

• y-intercept

Tags

CCSS.HSF-IF.C.7A

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

• (0, 6)

• (0, -6)

• (6, 0)

• (-6, 0)

Tags

CCSS.HSF-IF.C.7A

If a is negative in the function, which way does the parabola

• up

• down

• left

• right

Tags

CCSS.HSF-IF.C.7A

What is the axis of symmetry?
f(x) = x² - 8x + 15.

• x = -4

• x = 4

• y = 4

• y = -4

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

• parabola

• vertex

• graph

• point

What is the vertex?
f(x) = -x² - 4x + 12.

• (-2, 16)

• (2, 0)

• (2, 4)

• (-2, 4)

How many zeros does this parabola have? 

• 3

• 2

• 0

• 1

Tags

CCSS.HSF-IF.C.7A