A Linear Function and a Quadratic Function

Algebra 1A Linear Function and a Quadratic Function

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Here are graphs of a linear function and a quadratic function. The quadratic function is defined by the expression

$(x - 4)^{2} - 5$

Find the coordinates of P, Q, and R without using graphing technology. Show your reasoning.

Graph of a linear function and a quadratic function on a coordinate plane. The y-intercept for the linear function that is graphed in blue is labeled as (0, negative 7). The x-intercept for the linear function is labeled as (7, 0). The black parabola intersects the y-axis at point P and intersects the line at points Q and R. Points P and Q occur on the left side of the parabola's axis of symmetry while point R is on the right side.

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- Authors: Lynn Marecek, MaryAnne Anthony-Smith, Andrea Honeycutt Mathis, Jay Abramson, Sharon North, Amy Baldwin, Alyssa Howell
- Publisher/website: OpenStax
- Book title: Algebra 1
- Publication date: Jun 4, 2025
- Location: Houston, Texas
- Book URL: https://openstax.org/books/algebra-1/pages/about-this-course
- Section URL: https://openstax.org/books/algebra-1/pages/9-a-linear-function-and-a-quadratic-function

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