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

Mathematics

1 answer:

ICE Princess25 [194]2 years ago

4 0

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:

$y=-\frac{1}{2} (x-3)^2+4$
(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.

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strojnjashka [21]

The correct answer is: [C]: " $\frac{21}{11}$ " .
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Explanation:
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Let us begin by converting the:
"0.42 (with the "repeating bar on the digits, "42") " ;

into a fraction, as follows:
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100x = 42.42424242424242424242424242424242....
– x = 0.42424242424242424242424242424242...
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99x = 42.000000000000000000000000000000.... ;

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Divide each side of the equation by " 99 " ;
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$\frac{14}{33}$ ÷ $\frac{2}{9}$ ;

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" $\frac{7}{11}$ * $\frac{3}{1}$ " ;

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