Common Core Standard HSF-IF.C.8a Questions

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Grade 10 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a

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What information can be determined directly from the factored form of the function

$h(d) ?$ Choose all correct answers.

The ball's initial height.
The total horizontal distance it traveled.
The angle the ball was hit at.
The total time the ball was in the air for.

Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a

Complete the square for

$f(x) = x^2 + 4x + 1$ , then find the vertex.

$Vertex: (-2, -3)$
$Vertex: (2, 1)$
$Vertex: (-2, -1)$
$Vertex: (-2, -5)$

Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a

Factor the quadratic function and find the x-intercepts:

$f(x)=2x^2−8x$

Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a

Factor

$f(x)=x^2−5x+6$ , and find the zeros.

Zeros: 2,3
Zeros: -2,3
Zeros: 1,6
Zeros: 2,-3

Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a

Factor the quadratic function

$f(x)=x^2−2x−24$ , and find the zeros.

Zeros: x=6,−4
Zeros: x=-6,4
Zeros: x=-8, 3
Zeros: x=0, 5

Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a

Rewrite the quadratic function

$f(x)=3x^2+6x+2$ in vertex form.

$3(x+1)^2−1$
$3(x-1)^2+1$
$3(x+2)^2−1$
$3(x-2)^2−2$

Grade 10 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a

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Graph the function

$h(d)$ , being sure to indicate its maximum and intercepts. Also, indicate what these values represent in terms of the golf ball's trajectory.

Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a

Factor

$f(x) = x^2 + 7x + 10$ and find the zeros.

$Zeros: 5, -2$
$Zeros: -10, -7$
$Zeros: -5, -2$
$Zeros: -7, -5$

Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a

Complete the square and rewrite the function in vertex form:

$f(x)=2x^2−8x+6$

Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a

Complete the square and find the minimum value of the function:

$f(x)=3x^2+12x+9$

Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a

Factor

$f(x)=x^2−5x+6$ and find the zeros.

x=1,6
x=2,3
x=3,4
x=-2,5

Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a

Factor the quadratic function and find the zeros:

$f(x)=x^2−7x+10$

Grade 10 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a

Factor the function

$f(x)=8x^2-48x+72$ .

Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a

find the x-intercepts of the function:

$f(x)=(x−3)(x+4)$

Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a

Rewrite the quadratic function

$f(x)=x^2+4x+1$ in vertex form.

$(x+2)^2+3$
$(x-2)^2-3$
$(x+2)^2-3$
$(x-2)^2+3$

Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a

Complete the square and find the vertex of

$f(x)=2x^2+4x−6$ .

Vertex: (1,−8)
Vertex: (-1,−4)
Vertex: (-1,−8)
Vertex: (1,−4)

Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a

Complete the square and rewrite the function in vertex form:

$f(x)=x^2+6x+8$

Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a

What are the x-intercepts of the quadratic function

$f(x)=2x^2−8x+6$ ?

x=-1,3
x=1,3
x= 0,4
x= 2,4

Grade 10 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a

Factor the function

$f(x)=3x^2-30x+65$ .

Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a

Factor the quadratic function and find the zeros:

$f(x)=4x^2−25$

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