Converting Vertex Form to Standard Form Quiz

What are the three forms a quadratic relation can take?

• Exponential, Logarithmic, and Polynomial

• Standard, Vertex, and Factored

• Rational, Irrational, and Complex

• Linear, Quadratic, and Cubic

Which method can be used if you forget the shortcut for expanding binomials?

• Quadratic formula

• Completing the square

• FOIL method

• Distributive property

In the first example, what is the value of A in the binomial (2x + 4)^2?

• 2

• 4

• 2x

• x

What is the result of squaring the binomial (2x + 4)^2?

• 4x^2 - 16x + 16

• x^2 + 4x + 4

• x^2 - 8x + 16

• 4x^2 + 16x + 16

After expanding the binomial in the first example, what is the next step?

• Use the quadratic formula

• Apply the distributive property

• Collect like terms

• Factor the expression

In the second example, what is the value of B in the binomial (x + 3)^2?

• 3

• x

• x + 3

• 2x

What is the result of applying the distributive property in the second example?

• 2x^2 + 12x + 18

• x^2 + 6x + 9

• x^2 + 12x + 18

• 2x^2 + 6x + 9

What is the final step in converting the quadratic relation in the second example?

• Use the quadratic formula

• Collect like terms

• Factor the expression

• Apply the distributive property

What is the simplified form of the expression after collecting like terms in the second example?

• 2x^2 + 6x + 9

• x^2 + 6x + 9

• 2x^2 + 12x + 18

• 2x^2 + 12x + 15

What is the purpose of converting vertex form to standard form?

• To simplify the expression

• To solve the quadratic equation

• To make graphing easier

• To find the roots of the equation