So subtracting a negative seven really means we need to add a positive seven. So if we just added in a negative seven, we need to somehow subtract a negative seven from the equation. Well technically that number really isn’t a one it is a negative seven times one. So if we would add this one to the inside of the parentheses, which is right here, then we also have to subtract that number to this equation. Now in order to add a number into a function or an equation, we have to keep it balanced. So first we need to simplify inside the parentheses, and two divided by two is one, and one squared is one. And in order to do that, we need to take □ divided by two and square it and then we will do something else. ![]() Now our next step is to make this piece inside of the parentheses something squared. And we want to take out a GCF that way the number in front of □ squared is a positive one. So choosing this other route of putting it in vertex form, our first step would be to group the first two terms together and then take a GCF from it, a greatest common factor. Now another way to do this would be to take our function and put it in vertex form. And negative one is indeed between negative four and positive two, which was a piece of information that we were given. So our equation for the axis of symmetry would be □ equals negative one. And 14 divided by negative 14 is negative one. And on the denominator, two times negative seven is negative 14. So on the numerator, negative one times negative 14 is positive 14. So on our denominator we have two times negative seven. And since we need negative □, we need negative negative 14 divided by two □. ![]() So for our equation, we need to take negative □ over two □. When an equation is in the form of □□ squared plus □□ plus □, which our function is, the equation for the axis of symmetry is equal to □ equals negative □ over two □. Find the equation of the axis of symmetry of the function □ of □ equals negative seven □ squared minus 14□ plus five given that □ is in negative four to two.
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