Given the factored form of a quadratic function is $$y=2\left(x-3\right)\left(x-8\right)$$ , determine the x-intercepts (also known as roots, solutions, or zeros) of the parabola which represents the quadratic function. Hint: The factored form of a quadratic is $$y=a\left(x-c\right)\left(x-d\right)$$ where $$c$$ and $$d$$ are the x-coordinates of the x-intercepts of the parabola representing the quadratic function. Notice that $$c$$ and $$d$$ are the values being subtracted from $$x$$ in the linear factor expressions. The y-coordinate of any x-intercept must be $$0$$ .

$$\left(3,\ 0\right)$$ and $$\left(8,\ 0\right)$$

$$\left(0,\ 3\right)$$ and $$\left(0,\ 8\right)$$

$$\left(0,\ -3\right)$$ and $$\left(0,\ -8\right)$$

$$\left(-3,\ 0\right)$$ and $$\left(-8,\ 0\right)$$

$$\left(-6,\ 0\right)$$ and $$\left(-16,\ 0\right)$$

Given the factored form of a quadratic function is $$y=2\left(x+3\right)\left(x+8\right)$$ , determine the x-intercepts (also known as roots, solutions, or zeros) of the parabola which represents the quadratic function. Hint: The factored form of a quadratic is $$y=a\left(x-c\right)\left(x-d\right)$$ where $$c$$ and $$d$$ are the x-coordinates of the x-intercepts of the parabola representing the quadratic function. Notice that $$c$$ and $$d$$ are the values being subtracted from $$x$$ in the linear factor expressions. The y-coordinate of any x-intercept must be $$0$$ .

$$\left(-3,\ 0\right)$$ and $$\left(-8,\ 0\right)$$

$$\left(0,\ 3\right)$$ and $$\left(0,\ 8\right)$$

$$\left(3,\ 0\right)$$ and $$\left(8,\ 0\right)$$

$$\left(0,\ -3\right)$$ and $$\left(0,\ -8\right)$$

$$\left(6,\ 0\right)$$ and $$\left(16,\ 0\right)$$

Standard Factored and Vertex

Authored by Anthony Clark

Mathematics

10th Grade

CCSS covered

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MULTIPLE SELECT QUESTION

1 min • 1 pt

the x-intercept(s) of the parabola if any

the y-intercept of the parabola

the vertex of the parabola

the root(s) of the parabola if any

Tags

CCSS.HSF-IF.C.7A

MULTIPLE CHOICE QUESTION

1 min • 1 pt

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the name of this form of a quadratic equation: y = ax² + bx + c

vertex form

standard form

factored form

zero form

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What are the x-intercepts of this function?

(1,0) and (5, 0)

(0, 3) and (0, -5)

(1, 5) and (5, 1)

(0, 1) and (0, 5)

Tags

CCSS.HSF-IF.C.7A

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find the vertex of
f(x) = -(x+6)(x-2)

(-2, 16)

(2, 0)

(2, 4)

(-2, 4)

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Standard Factored and Vertex

What is the name of this form of a quadratic equation: y = ax² + bx + c

What are the x-intercepts of this function?

Find the vertex of
f(x) = -(x+6)(x-2)

What are the zeros of the function? Choose all that apply.

What is the maximum/minimum of a parabola called?

What is the y-intercept of this parabola?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Standard Factored and Vertex

What is the name of this form of a quadratic equation: y = ax2 + bx + c

What are the x-intercepts of this function?

Find the vertex of f(x) = -(x+6)(x-2)

What are the zeros of the function? Choose all that apply.

What is the maximum/minimum of a parabola called?

What is the y-intercept of this parabola?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

What is the name of this form of a quadratic equation: y = ax² + bx + c

Find the vertex of
f(x) = -(x+6)(x-2)