Quadratic Equations Form

Standard form of a quadratic equation

• y=x²

• y=ax²+bx+c

• y=mx+b

• y=x

Which value is the vertex?

• (-4, 0)

• (-1, -9)

• (0, -8)

• (2, 0)

The graph of a quadratic function is called

• a line

• a hyperbola

• a parabola

• a cubic

Tags

CCSS.HSF-IF.C.7A

What is the equation for axis of symmetry?

• y=3

• x=3

• x=5

• x=1

Tags

CCSS.HSF-IF.C.7A

A ​ (a)   in one variable is an equation that can be written in the ​ (b)   ​ (c)   , where a, b, and c are ​ (d)   and ​ (e)   .

• quadratic equation

• standard form

• real numbers

What are the solutions to the quadratic equation?

• x = -4

• x = 1

• x = -1

• x = 2

• x = 4

• -1 and 3
• 1 and -3
• -1 and -3
• 1 and 3

Match the following equations with their correct form.

• Standard form of a quadratic equation

• f(x) = ax² + bx + c

• Factor Form

• f(x) = a(x - h)² + k

• Quadratic Formula

• f(x) = a(factor)(factor)

• Vertex Form

The quadratic function y = -2x² + 4x + 6 is pictured. What are the solutions to the equation 7.5 = -2x² + 4x + 6?

• x = 0.5

• x = 1.5

• x = 1

• x = 8

• x = 6

Match the following forms of equations with their correct descriptions.

• Standard form of a quadratic equation

• y = a(x - h)² + k

• Vertex form of a quadratic equation

• y = mx + b

• Slope-intercept form of a linear equation

• y = ax² + bx + c

Answer explanation

The correct choice is y = a(x - h)^2 + k, which represents the vertex form of a quadratic equation with the vertex at (h, k).