MA.912.AR.3.4 · Non-linear Relationships

Writing a Quadratic Function from a Graph, Table, or Description: Sample Algebra 1 EOC Questions

Given the vertex and another point, or a table showing the symmetry of a parabola, students write the function. Vertex form is usually the fastest route, and converting to standard form is often the second half of the item.

How the Algebra 1 EOC tests this benchmark

The given information always includes the vertex plus two points equidistant from it, and the vertex and its coordinates are integers. Marked points on a given graph are never x-intercepts, which is what separates this benchmark from MA.912.AR.3.5. Equation editor items accept any equivalent form of the function.

Skills students need

Write a quadratic in vertex form
Use a second point to find the leading coefficient
Read the vertex from a table using symmetry
Convert between vertex form and standard form

Try 6 real MA.912.AR.3.4 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

The table shows values of a quadratic function. Which equation represents the function?

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

Question 5HardMatching

Match each description to the value of

a

in the vertex form of its function.

Pick one match in each row, then check.

	A. $-2$	B. $-1$	C. $3$	D. $\tfrac{1}{2}$
Vertex $(-1, 2)$ , through $(1, 14)$ and $(-3, 14)$
Vertex $(-2, 5)$ , through $(0, -3)$ and $(-4, -3)$
Vertex $(4, -1)$ , through $(6, 1)$ and $(2, 1)$
Vertex $(3, 6)$ , through $(5, 2)$ and $(1, 2)$

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More Algebra 1 non-linear relationships benchmarks

MA.912.AR.3.5

Writing a Quadratic from x-Intercepts and a Point

MA.912.AR.3.6

Vertex and Zeros of a Quadratic in Context

MA.912.AR.3.7

Graphing Quadratic Functions and Their Key Features