A Linear Function and a Quadratic Function - Algebra 1

A Linear Function and a Quadratic Function

A Linear Function and a Quadratic Function

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.