Which of these statements accurately describes the graph of the function f(x)=x2+14x+49f(x)=x2+14x+49 ? a the graph passes through the x-axis at -7. b the graph touches the x-axis at -7. c the graph passes through the x-axis at 7. d the graph touches the x-axis at 7.

A point belongs to the x axis if its y coordinate equals zero.

The points on a graph are in the form , so these points are on the x axis if and only if

In this case, we have

You can observe that your expression is actually a squared binomial: using

you can notice that

So, you have

Now, how we decide if this function "touches" or "passes through" the x-axis at x=7? Well, since our function is a square, it is never negative. So, this graph can't cross the x-axis, but rater touch it from above. The parabola has a U shape, and the point of minimum lies on the x axis.

So, the graph touches the x axis at x=7.

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step-by-step explanation:

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