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F(x) = |x – 3| + 6 where is the vertex of the graph

User Anup Ash
by
8.3k points

2 Answers

4 votes

Answer:

(3,6)

Explanation:

f(x) = |x| is a V-shaped graph with the vertex at (0,0). It is called a parent graph, because its super basic.

f(x) = |x - 3| + 6

has had two changes made to it. The "- 3" that's in there close to the x slides the graph over to the right 3 units. This is kind of the opposite of what you might think. Minus3 shifts right. (Plus3 would shift left)

The +6 tacked on to the end shifts the whole graph UP 6.

That slides the graph RIGHT3 and UP6. So the vertex lands at (3,6). See image.

F(x) = |x – 3| + 6 where is the vertex of the graph-example-1
User Kelvyn
by
8.6k points
11 votes

Answer: (3,6)

Rewrite in vertex form and use this form to find the vertex (h,k)

User Nilesh Verma
by
7.7k points

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