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ACT/SAT The graph of which of the following equations is symmetrical about the $y$ -axis?A $y=x^{2}+3 x-1$B $y=-x^{2}+x$C $y=6 x^{2}+9$D $y=3 x^{2}-3 x+1$...

Question

ACT/SAT The graph of which of the following equations is symmetrical about the $y$ -axis?A $y=x^{2}+3 x-1$B $y=-x^{2}+x$C $y=6 x^{2}+9$D $y=3 x^{2}-3 x+1$

ACT/SAT The graph of which of the following equations is symmetrical about the $y$ -axis? A $y=x^{2}+3 x-1$ B $y=-x^{2}+x$ C $y=6 x^{2}+9$ D $y=3 x^{2}-3 x+1$



Answers

ACT/SAT The graph of which of the following equations is symmetrical about the $y$ -axis?
A $y=x^{2}+3 x-1$
B $y=-x^{2}+x$
C $y=6 x^{2}+9$
D $y=3 x^{2}-3 x+1$

All right, so the function is an odd degree degree three. So because it's degree three, it has to have any behavior that goes in opposite directions. For this reason, we can eliminate choice C and choice Be because, um, the end behaviors will in the same directions. Um, choices B and C would be even to recall you, um and then choice A would be a decreasing function and choice. Do you agree? Increasing. Since the leading coefficient of this function is positive, it has to be increasing through this matches choice T.

In this caution graft is given to us and four options are given. We have to tell among these options which one will be the equation for that given circle. Now, as we can see in the graph, center off the circle will be around here and a few light coordinates. Off this point, it will be one comma minus two. Hence, center of the circle is one comma minus to know. If you write that standard form off any creation, it will be X minus one whole square. Bless why minus minus two. That will be Y plus two whole square. Is it Cueto R squared where R is the radius of the circle. Now, if we see the options option sees X minus one whole square plus y plus two whole square, there is no other option with the same center. Hence, Option C will be the correct option

In this caution graph off a circle is given to us and four options are given. We have hotel among these four options. Which one will be the equation off the given circles? These are the four options given to us Know, as we can see in the graph off the circle centre will be somewhere here. Now, if you like coordinates off this point, it will be my last re coma. Three hence sank off the circle. Exact minus three. Coma three. Now, if the right standard form of an equation it will be X minus minus three. That will be X plus three hold square plus why minus three. Whole square is equal to R squared where r is the radius of the circle. Now, if we see in option D, it is X plus three hold square plus y minus three. Whole square is equal to nine and there is no other option with the same center. Hence, option day will be the correct option

In this Kocian graph off a circle is given to us, and four options are given. We have total. Among these options, which one will be the equation off the given circle? These are the four options given tow us. Know if we've seen the graph of the circle centre will be around here. Now. If you like coordinates off this point, it will be minus one comma do. Hence, center office circle is at minus one comma toe. Now, if you write standard form off in equation, it will be X minus minus one. That will be X plus one whole square plus why minus two hold. Square is equal to R squared where r is the radius of the circle. Now, if we see in the options option bees X plus one whole square plus y minus two whole square. This is the option having same center. Hence option. We will be the correct option


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