In Exercises 109–114, find the x-intercept(s) of the graph of eac...

Question

In Exercises 109–114, find the x-intercept(s) of the graph of each equation. Use the x-intercepts to match the equation with its graph. The graphs are shown in [- 10, 10, 1] by [- 10, 10, 1] viewing rectangles and labeled (a) through (f).

y = - (x + 1)^2 + 4

Accepted Answer

identify the following functions graph. By first solving for x intercepts and then matching up with this given graph. So we have X -3 squared -9. I want to find the x intercept. I'm first going to do that. But factoring out my x minus three squared so that gives us x squared minus six. X plus nine. They bring down a minus tan and now we want to find our X intercept. We'll do that by saying the whole thing equal to zero. Now we notice here we have a nine minus nine. Those cancel each other out. Just give me X squared minus six. X equals zero. Now we want to solve for X. Going to factor out an X in this equation that gives us X times X minus six equals zero. Now we have two equations equaling zero. We can go ahead and split those up. Two, X equals zero and x minus six equals zero or X equals positive six. So we have two intercepts, X equals zero, X equals six. Let's go ahead and take a look at our graphs. No, see I've highlighted already but graf eh has intercepts X equals zero and X equals six. Be as intercept X equals zero and X equals negative six. So it can't be B same for C actually has a Y intercept of negative six and d has no X intercepts at all. Diamonds answer to our problem is indeed answer a Okay. I hope to help you solve the problem. Thank you for watching. Goodbye

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In Exercises 109–114, find the x-intercept(s) of the graph of each equation. Use the x-intercepts to match the equation with its graph. The graphs are shown in [- 10, 10, 1] by [- 10, 10, 1] viewing rectangles and labeled (a) through (f). y = - (x + 1)^2 + 4