Factoring Quadratics Graphically

Which of the following represents the function

 $f\left(x\right)\ =\ -\left(x-3\right)\left(x-9\right)$  

• a

• b

• c

• d

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.10

If the zeros of a quadratic equation are −2 and 3, the equation can be written as

• (x − 2)(x + 3) = y

• (x + 2)(x − 3) = y

• (x + 2)(x + 3) = y

• (x − 2)(x − 3) = y

Tags

CCSS.HSA.APR.B.3

Keith found the zeros of a graph to be

 $\frac{1}{2}$  and  $-3$  .  
What would the equation look like in factored form?

• y = (2x + 1)(x + 3)

• y = (2x – 1)(x + 3)

• y = (2x – 1)(x – 3)

• y = (2x + 1)(x – 3)

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

For which function defined by a polynomial are the

zeros of the polynomial −4 and −6?

• y = x² − 10x − 24

• y = x² + 10x + 24

• y = x² + 10x − 24

• y = x² − 10x + 24

Tags

CCSS.HSA.APR.B.3

If the equation of a quadratic in factored form is f(x) = (x + 3)(x − 1), the ZEROS are

• 3 and −1

• −3 and 1

• 3 and 1

• −3 and −1

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

Given the graph, what are the factors

• (x − 2)(x + 1)

• (x − 2)(x − 1)

• (x + 2)(x − 1)

• (x + 2)(x + 1)

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

Using the graph, what are the factors

• (x + 6)(x + 18)

• (x – 6)(x – 18)

• (x + 6)(x – 18)

• (x – 6)(x + 18)

Tags

CCSS.HSA.APR.B.3

How would the equation of this graph look in factored form?

• y = (x – 5)²

• y = (x + 5)²

• y = x(x – 5)

• y = x(x + 5)

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

How would the equation of this graph look in factored form?

• y = (x – 4)²

• y = (x + 4)²

• y = x(x – 4)

• y = x(x + 4)

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

How would this equation look in standard form?

• y = x² – 2x + 3

• y = x² – 2x – 3

• y = x² + 2x + 3

• y = x² + 2x – 3

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3