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2 years ago

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The equation of a parabola is given. y=−14x2+4x−19 What are the coordinates of the vertex of the parabola?

1 answer:

stepladder [879]2 years ago

3 0

We know that
the equation of a parabola is of the form
y=a*(x-h)²+k--------> is a vertical parabola
(h,k) is the vertex
y=−14x²<span>+4x−19
</span><span>Factor the leading coefficient </span>
y=-14*(x²-4/14x)-19
y=-14*(x²-2/7x)-19
<span>Complete the square Remember to balance the equation </span>
y=-14*(x²-2/7x+(1/49)-(1/49))-19
y=-14*(x²-2/7x+(1/49))-19+14/49

<span>Rewrite as perfect squares</span>

y=-14*(x-1/7)²-917/49

the vertex of the parabola is
h=(1/7)-----> 0.1429
k=(-917/49)----> -18.7143

the vertex of the parabola is
(0.1429, -18.7143)

see the attached figure

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prohojiy [21]

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Read more about tables and functions at:

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2 years ago

Evaluate this expression. 5^-3

sweet-ann [11.9K]

Answer:

$\Huge \boxed{\frac{1}{125}}$

Step-by-step explanation:

<h2>Order of operations</h2>

PEMDAS

Parenthesis, exponent, multiply, divide, add, and subtract from left to right.

Do exponent.

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$\large \boxed{\frac{1}{125}}$ , which is our answer.

Hope this helps!

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2 years ago