Question

Which of the following statements accurately describes the graph of the function f(x)=x^2+14x+49?

A. The graph passes through the x-axis at -7
B. The graph touches the x-axis at 7.
C. The graph touches the x-axis at -7
D. The graph passes through the -axis at 7.

Answer 1

Option C!

Explanation:

The graph touches the x-axis at -7, since it bounces at that point and change direction. We can know the graph touches and doesn't pass through the x-axis by understanding it is a quadratic function, which always forms a parabola.