Problem

Use the displayed graph to interpret \((p+6)^{2}\) in \(q(p)=(p+6)^{2}-4\). Determine the signed center, express the absolute distance, and relate equal squared distances to symmetric inputs and outputs.

Unannotated graph of q(p)=(p+6)²−4; the parabola is shown without naming its center, symmetry axis, or equal-output inputs.

Answer choices

Choose your path.

Preview only

Center −6; signed difference p + 6; distance |p + 6|; squared term is interpreted as the linear distance p + 6; inputs −6 − d and −6 + d are claimed to have different outputs.

Center 6; signed difference p − 6; distance |p − 6|; squared term (p − 6)²; inputs 6 − d and 6 + d have equal outputs.

Center −6; signed difference p + 6; distance p + 6 without absolute value; squared term (p + 6)²; inputs −6 − d and −6 + d are claimed to have different outputs.

Center −6; signed difference p − (−6) = p + 6; distance |p + 6|; squared-distance term (p + 6)²; inputs −6 − d and −6 + d have equal outputs.

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

Use the displayed graph to interpret \((p+6)^{2}\) in \(q(p)=(p+6)^{2}-4\). Determine the signed center, express the absolute distance, and relate equal squared distances to symmetric inputs and outputs.

Turn the preview into practice.

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