identify-the-function-s-graph-by-calculating-the-function-s-intercept-and-matchi

Question

Identify the following function's graph by first solving for its x-intercepts and then matching it with the given graphs.

y = (x -3)² -9

Accepted Answer

x-intercepts 0, 6

Graph of y = (x - 3)^2 - 9 showing x-intercepts at (0, 0) and (6, 0).

Answer

x-intercepts 0, -6

Graph of y = (x + 6)^2 showing x-intercept at (-6, 0).

Answer

x-intercepts 0, -6

Graph of y = (x - 0)^2 - 6 showing x-intercept at (0, -6).

Answer

No x-intercepts as it does not touch or intersect the x-axis.

Graph of y = (x - 0)^2 + 6 showing no x-intercepts.

Identify the following function's graph by first solving for its x-intercepts and then matching it with the given graphs. y = (x -3)2 -9