Problem preview
A-REI.7 Warmup M2-007-A03-V01

Solve simple linear-quadratic systems algebraically and graphically.

Estimate line-parabola intersections from a graph

Problem

Use the displayed graph of \(y=x^{2}\) and \(y=2\). Estimate both intersection ordered pairs to the nearest tenth; then report the \(x\)- and \(y\)-reading for each.

Big Picture

What this problem is really about

Each graph intersection shares both coordinates. We’ll locate both crossings, read x horizontally and y vertically using the displayed scales, and use the equation x squared equals two as a numerical check before rounding both ordered pairs to the nearest tenth.

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Four variants of this problem type
Curriculum context
Course
Math II
Standard
A-REI.7
Category
Algebra
Domain
Reasoning with Equations and Inequalities
Objective
Solve simple linear-quadratic systems algebraically and graphically.
Problem type
Estimate line-parabola intersections from a graph