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Which quadratic function in vertex form has a vertex at (3, 4) and passes through the point (7,-4)

Which Quadratic Function In Vertex Form Has A Vertex At 3 4 And Passes Through The Point 74 class=

Sagot :

Nonportrit

Answer:

First option

Step-by-step explanation:

Given the following question:

We are being asked to find the quadratic function that has a vertex of (3, 4) and passes through the point (7, -4). Remember that the vertex of any parabola is the point on the top of the parabola, directly in the middle of the top of the function.

First option:

[tex]y=-\frac{1}{2} (x-3)^2+4[/tex]
(see photo below)

As you can see the function has a vertex of (3, 4) which means the point on the top of the parabola is (3, 4) or the vertex. It also passes through the point (7, -4) meaning the first option is your answer.

Hope this helps.

View image Nonportrit
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