QUIZ: Solving Quadratics by Graphing and Factoring

What are the zeros of the function in the graph?

• (-1, 0) and (1, 0)

• (0, -1) and (0, 1)

• (0, -1)

• (-1, 0) and (1, 0) and (0, -1)

Tags

CCSS.HSA.APR.B.3

To solve a quadratic by graphing is to find where the parabola crosses the x-axis. We call these the ___. Select all that apply.

• zeroes

• x-intercepts

• solutions

• roots

• y-intercepts

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

• A
• B
• C
• D

Tags

CCSS.HSA-REI.B.4B

Which quadratic functions have two solutions? Select all that apply.

• $f\left(x\right)=x^2-5$

• $f\left(x\right)\ =\ x^2+2$

• $f\left(x\right)=3x^2-1$

• $f\left(x\right)\ =\ \left(x-3\right)^2$

• $f\left(x\right)\ =\ \left(x+2\right)^2-4$

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

Which quadratic functions have one solution? Select all that apply.

• $f\left(x\right)\ =\ -\left(x-1\right)^2$

• $f\left(x\right)\ =\ x^2+1$

• $f\left(x\right)\ =\ \left(x+5\right)^2$

• $f\left(x\right)\ =\ \left(x-7\right)^2+3$

• $f\left(x\right)\ =\ \left(x+3\right)\left(x+3\right)$

Tags

CCSS.HSA.REI.B.4

The quadratic function  $f\left(x\right)\ =\ x^2+4$  is prime, which means...

• it has 2 solutions: -2 and 2. 

• it has no solutions (does not hit the x-axis)

• it has decimal solutions (hits the x-axis NOT at an integer)

• it has one solution: 2. 

Tags

CCSS.HSF-IF.C.7A

Find the zeros by factoring.

h(x) = x² -12x + 36

• (-6, 0) and (6, 0)

• (6, 0) only

• (-6, 0) only

• no solutions

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

Find the zeros by factoring.

g(x) = 2x² + 9x + 4

• (2,0) and (-1, 0)

• (-4,0) and (-1/2, 0)

• (4,0) and (-1/2, 0)

• (4,0) and (1/2, 0)

• (-2,0) and (-1, 0)

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

• (2/3, 0)

• (2/3, 0) and (-2/3, 0)

• (3, 0) and (2/3, 0)

• (3/2, 0)

• (3/2, 0) and (-3/2, 0)

What is the equation of this quadratic in factored form?

• f(x) = - (x+1)(x-3)

• f(x) = (x+1)(x-3)

• f(x) = - (x-1)(x-3)

• f(x) = (x+1)(x+3)

• f(x) = (x-1)(x-3)

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2