Search 7,000+ topics

Practice problem

Solve a Linear-Quadratic System by Graphing

By Victoria Rodriguez

+3 contributors

Contributors

Graph A: parabola opening upwards with vertex at (-2.5, -0.25) and a y-intercept at (0, 6); a line with a slope of 9 and a y-intercept at (0, 3). Graph B: parabola opening downwards with a vertex at (2.5, 12.25), x-intercepts at (6, 0) and (-1, 0), and a y-intercept at (0, 6); a line with a slope of 9 and a y-intercept at (0, 3). Graph C: parabola opening downwards with vertex at (-2.5, 12.25), x-intercepts at (-6, 0) and (1, 0), and a y-intercept at (0, 6); a line with a slope of 9 and a y-intercept at (0, 3). Graph D: parabola opening upwards with vertex at (2.5, -0.25) and a y-intercept at (0, 6); a line with a slope of 9 and a y-intercept at (0, 3). — Graphs created on Desmos

Which of the graphs above represent the following system of equations: $\begin{cases} y=-x^2+5x+6\\ y=9x+3 \end{cases}$