in-exercises-87-90-determine-whether-the-statement-is-true-or-false-justify-your-answer-the-graphs-o

Question

In Exercises 87- 90, determine whether the statement is true or false. Justify your answer.

The graphs of $ f(x) = -4x^2 - 10x + 7 $ and $ g(x) = 12x^2 + 30x + 1 $ have the same axis of symmetry.

J Hardin · Accepted Answer

tour falls the following quadratic ce have the same access of symmetry. Well, we contest this In general, problems of this form is Lon zero and the access of cemetery is always given by the following equation Just negative. B over two A So we&#x27;Ll just make this computation for both graphs here. So for this one, we&#x27;LL have negative b over two A. So that will be negative five over four and then for other graph negative b over two times a day and then go ahead and simplify that So we can rewrite this as minus fifteen over twelve and we see that three does go into both of these, so that would be negative. Five over four. So in each case, when we write out the equation for access the cemetery, they&#x27;re both the same equation. They&#x27;re both X equals negative five over four. So the answer here is Yes, this is true. And that&#x27;s our final answer

Ankit Gupta · Answer

um, everyone in this was in the order. Attend. Rather, do you understand what is true or false? So what? We&#x27;re going for a 4% for your pace. What on having said that His obstinate resource. It&#x27;s also my video to find out what are perplexed. It is a minus. Water two squared, minus day and explicit. So I stopped him. Agreed excluding people to minus B by to get mine. I&#x27;ll be back. We really If I find that minus off David is I understand you are the by way too into minus four. So if I simplify this one done before the world here minus Finest, listen. What what? Why does he give so minus all then divided, right? It it is equal to minus firefight or so except ultimate report content up. All that is, except for two minus 54 for the Exxon Sematary. Now, if you take your pick in your exit portal, what makes it square? Let&#x27;s party X less One now for this or not to be taken simple like people don&#x27;t minus b by to hear that they picked up the memory. So if you have never witnessed minus the media is that they diverted by the way to go into this is one people living simply brain. And I&#x27;m getting minus that everybody we&#x27;re before. So the your message here. Six year Then I&#x27;ll get minus party by port. So as we can take a load off my keyboard constant your boxes minus by very four of cold water Exit ultimately saying we can take people don&#x27;t minus five iPhone here. Also people demanded by my fault. So you wanted that friend is No, thank you.

Heather Zimmers · Answer

if you change y equals f of X to y equals f of the opposite of X. That is a Y axis reflection. If you change y equals f of X to y equals the opposite of F of X. That is an X axis reflection. So this problem had a false statement.

Heather Zimmers · Answer

If you want to have a Y axis reflection, you change. Y equals F of X to y equals up of the opposite of X. If you want to have an X axis reflection, you change. Y equals f of X to y equals the opposite of Activex. So this problem was false.

Linh Vu · Answer

question when you have a function. Thanks. We go to the minus X square times expressed to about three times x minus. For about you hear Noticed that for the middle factor Here we have. The zero will be minus two with the multiplicity. Yeah, ico during the three on Because the multiplicity, he and his out. Therefore, we can conclude that the craft Okay, well cast the, uh, access. Add thanks to go to the manager to on. Then in this question here, we can see that the statement is true.

Heather Zimmers · Answer

here we see G of X, and then we see f of X and to go from G of x two f of X, it looks like five was added. Any time you add five to a function, you&#x27;re always going to shift it up. Five units. That&#x27;s the transformation. Therefore, when the problem says that it&#x27;s been shifted to the right five units, that is false.

Problem

In Exercises 87- 90, determine whether the statem…

Problem 88 Easy Difficulty

In Exercises 87- 90, determine whether the statement is true or false. Justify your answer.

The graphs of $ f(x) = -4x^2 - 10x + 7 $ and $ g(x) = 12x^2 + 30x + 1 $ have the same axis of symmetry.

Answer

True

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