Identify a Quadratic Equation in Standard Form

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

Which equation is the standard form of a quadratic function?

• f(x) = mx + b

• f(x) = a(x - m)(x - n)

• f(x) = ax² + bx + c

• f(x) = a(x - h)² + k

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

Which of the following is quadratic equation?

• x³-5x+6 = 0

• 6x^2 + 11x - 35 = 0

• -4x - 7x +12 = 0

• 2x⁴ - 4y - 2 = 0

The graph of a quadratic function is shown. Write a quadratic equation in standard form to represent the graph.

Mathematical Equivalence

ON

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

• y = a(x - h)² + k

• y = ax² + bx + c

• ax + by = cy

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

If an equation is y = ax² + bx + c, it is in

• Standard Form

• Vertex Form

• Point-Slope Form

• Slope-Intercept Form

• Factored Form

A quadratic graph passes through the point (2, 8) and has a vertex of (-2, -4). Drag the correct coefficients and constant to represent the Standard Form Equation.

i

g

f

5

-1

3

-3

8

-8

Identify a in the quadratic equation:

x ² + 16x + 64=0

• 2

• 1

• 16

• 64