Mathematics, 15.07.2019 08:00 rcetrangolo

The vertex of the graph is f(x) = |x-3|+6 is located at

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Answer from: songulakabulut1992

There is a very great website called Desmos that can efficiently graph any equation. I think it will help a lot :)

Since this function is an absolute value, then it would look like a V shape on a graph. The vertex will always start at (0,0). Inside the absolute value x is subtracted by 3 which means the vertex will move to the right by 3 units. The entire function is added by 6 which means the vertex will move up by 6 units. I've attached a graph showing the final vertex of f(x)=-|x-3|+6 which is (3,6)

Hope This Helps :)
The vertex of the graph is f(x) = |x-3|+6 is located at

The vertex of the graph is f(x) = |x-3|+6 is located at

Answer from: marcoantonioperezpan

Hello there!

Ok, so what we need to do is to rewrite it in standard form and use the form to find the vertex.

So, the question is asking where the vertex of the graph is located.

I graphed it and it is located on (3.6)

Check the picture below....
Credit to my graphing calculator.

The vertex of the graph is f(x) = |x-3|+6 is located at

Answer from: Quest

starting with:

5 + x - 12 = 2x - 7

5 + x - 12 - x = 2x - 7 - x (subtract x from both sides)

5 - 12 = x - 7 (combine and cancel x's from both sides)

5 - 12 + 7 = x - 7 + 7 (add 7 to both sides)

0 = x (add numbers together on both sides)

so in order for the equation to be true, x must be 0.

trying x = -0.5

5 + x - 12 = 2x - 7 (original equation)

5 + -0.5 - 12 = 2(-0.5) - 7 (plug in value of x)

5 + -0.5 - 12 = -1 - 7 (did multiplication)

-7.5 = -8 (did addition on both sides)

since -7.5 is obviously not equal to -8, the value of -0.5 for x is wrong.

trying x = 0

5 + x - 12 = 2x - 7 (original equation)

5 + 0 - 12 = 2(0) - 7 (plug in value of x)

5 + 0 - 12 = 0 - 7 (did multiplication)

-7 = -7 (did addition on both sides)

since -7 equals -7, that demonstrates that the value of 0 for x is correct.

trying x = 1

5 + x - 12 = 2x - 7 (original equation)

5 + 1 - 12 = 2(1) - 7 (plug in value of x)

5 + 1 - 12 = 2 - 7 (did multiplication)

-6 = -5 (did addition on both sides)

since -6 is obviously not equal to -5, the value of 1 for x is wrong.

Answer from: Quest

the ordered pairs for the given function are of the form

$(x, f(x)) = (x, x+1)$

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