Three Forms of Quadratic

Convert the following graph into vertex form:

Convert the following graph into intercept form:

Tags

CCSS.HSF-IF.C.7A

Convert the following graph into standard form:

What form is this quadratic equation in? y=x^2-4x+3

• Standard Form

• Vertex Form

• Factored Form

• None of these

Match the following

• g(x) = 4(x - 6)² +1

• Factored form

• f(x) = 3x² + 4x - 5

• Standard Form

• t(x) = (x + 3)(x - 2)

• Vertex Form

Match the following forms of equations with their correct descriptions.

• Standard form of a quadratic equation

• y = ax² + bx + c

• Slope-intercept form of a linear equation

• y = mx + b

• Vertex form of a quadratic equation

• y = a(x - h)² + k

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).

A table of values for a quadratic function is shown.

Type the equation of the quadratic function in Standard Form.

y = ax² + bx + c

Mathematical Equivalence

ON

Standard Form = ​ (a)   Factored Form = ​ (b)   Vertex Form = ​ (c)  

Mathematical Equivalence

ON

A parabola has x-intercepts at (-9, 0) and (2, 0) and passes through the point (-4, 60)

Drag and Drop numbers to complete the equation in Standard Form:

y = ​ (a)   x² (b)   ​ (c)   x​ (d)   (e)  

• -2

• -

• 14

• +

• 36

• -4

• 60

• 30

• 7

• 1