Problem preview
F-IF.9 Warmup M2-025-A03-V01

Compare function properties across representations, especially quadratic comparisons.

Compare two y-intercepts at x=0

Problem

Compare these \(y\text{-}\text{intercepts}\): \(A(x)=x^{2}-3x+5\); \(B(x)=2(x-1)^{2}+1\).

Big Picture

What this problem is really about

A y-intercept comparison holds the input fixed at zero for both functions. We’ll evaluate each complete rule at that shared input, especially any grouped expression, and compare the resulting outputs with a signed difference.

Inside Gozunta

Turn the preview into practice.

More than a preview

Gozunta lets you study this problem—and more than 10,000 others.

Create targeted learning sessions, use hints, check your answer, read the walkthrough, watch the video, print the work, and track your progress.

Discover Gozunta Try it now
Four variants of this problem type
Curriculum context
Course
Math II
Standard
F-IF.9
Category
Functions
Domain
Interpreting Functions
Objective
Compare function properties across representations, especially quadratic comparisons.
Problem type
Compare two y-intercepts at x=0