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1 answer:
Equation B is written in vertex form, which means you can read the vertex (extreme value) from the numbers in the equation.
Vertex form is
y = a(x -h)² + k
where the vertex (extreme point) is (h, k). Whether that is a maximum or a minimum depends on the sign of "a". When "a" is negative, the graph is a parabola that opens downward, so the vertex is a maximum.
Equation B reveals its extreme value without needing to be altered.
The extreme value of this equation is a maximum at the point (2, 5).
Vertex form is
y = a(x -h)² + k
where the vertex (extreme point) is (h, k). Whether that is a maximum or a minimum depends on the sign of "a". When "a" is negative, the graph is a parabola that opens downward, so the vertex is a maximum.
Equation B reveals its extreme value without needing to be altered.
The extreme value of this equation is a maximum at the point (2, 5).
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<h3>Answer: 5x-3</h3>
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Explanation:
Think of x as a placeholder for a number. For me, I tend to think of it as a box. It's handy that the letter x is part of box, to help make that connection better. We have some box and inside the box goes a number.
If we multiply 5 by whatever is in the box, we can write it like
Then let's say we fill that box with the value 7. We would then have
If we put 3 in the box instead we'll have and so on
Unfortunately the box symbol isn't something we could easily write on a keyboard, so we go with x instead to make life simpler.
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So far we've shown that "5 times a number" turns into 5*x or just 5x.
From here we subtract off 3 to get 5x-3 as the final answer. Whatever the result of 5x is, we subtract off 3.
The answer would not be 3-5x since this means "subtract 5x from 3". The order of subtraction matters. In general, A-B is not the same as B-A.