Write a quadratic whose only zero is \(1\) with multiplicity \(2\) and whose scale factor is \(-1\). Explain how the exponent on the factor records multiplicity and how the leading factor records the scale.

Answer choices

Choose your path.

Preview only

f(x) = −(x − 1). It has zero 1 but is linear, not quadratic.

f(x) = (x − 1)² = x² − 2x + 1. It has the correct repeated zero but leading coefficient 1 instead of −1.

f(x) = −(x + 1)² = −x² − 2x − 1. It has a repeated zero at −1, not at 1.

f(x) = −(x − 1)² = −x² + 2x − 1. It has a repeated zero at 1 and leading coefficient −1.

The choices are visible. Checking your work and seeing which answer is correct happen inside Gozunta.

Inside Gozunta

More than a preview

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

Curriculum context