MA.912.AR.3.5 · Non-linear Relationships

Writing a Quadratic from x-Intercepts and a Point: Sample Algebra 1 EOC Questions

The x-intercepts of a parabola give its factors, and one more point pins down the leading coefficient. Students assemble the factored form and, when asked, expand it into standard form.

How the Algebra 1 EOC tests this benchmark

The given x-intercepts and the extra point are always integers on the EOC, which keeps the arithmetic clean and puts the weight on the method. The most common error the distractors catch is a sign flip: an x-intercept of 3 gives the factor x minus 3, not x plus 3. Equation editor and multiple choice items are the usual formats.

Skills students need

Turn x-intercepts into linear factors
Solve for the leading coefficient using a third point
Write the function in factored form
Expand factored form into standard form

Try 6 real MA.912.AR.3.5 questions

These come straight from Algebro's Algebra 1 question bank, easiest first. Answer one, check it, then move to the next.

Question 1 of 6

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Question 1EasyMultiple Choice

A quadratic function has

x

-intercepts at

x = -2

and

x = -5

, and its

y

-intercept is

(0, 20)

. Which equation represents the function?

Showcase extra: the real practice and quiz players do not have this button.

Question 4MediumMatching

Match each pair of

x

-intercepts to the pair of factors it produces.

Pick one match in each row, then check.

	A. $(x - 3)(x + 5)$	B. $(x + 3)(x + 5)$	C. $(x - 3)(x - 5)$	D. $(x + 3)(x - 5)$
The $x$ -intercepts are $3$ and $-5$
The $x$ -intercepts are $-3$ and $5$
The $x$ -intercepts are $3$ and $5$
The $x$ -intercepts are $-3$ and $-5$

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