Which is the equation of the parabola?

Mathematics

1 answer:

Umnica [9.8K]2 years ago

4 0

Answer: $y=-\dfrac{1}{8}(x - 2)^2 - 3$

Step-by-step explanation:

The vertex form of a parabola is: y = a(x - h)² + k where

(h, k) is the vertex
$a=\dfrac{1}{4p}$

NOTE: p is the distance from the vertex to the focus

The vertex (h, k) is (2, -3)

$p=-2\quad \implies\quad a = \dfrac{1}{4(-2)}=-\dfrac{1}{8}$

Insert those values into the vertex formula to get:

$y=-\dfrac{1}{8}(x - 2)^2 - 3$

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The following graph of f(x) = x2 has been shifted into the form f(x) = (x − h)2 + k:

hoa [83]

B is the correct answer

4 0

3 years ago

What is the sum of ? I will put a pic if the answer is correct ill mark brainlist

olga2289 [7]

$\text{The sum of } 1\frac{7}{10} \text{ and } 3\frac{3}{5} \text{ is } 5\frac{3}{10}$

Solution:

Given that we have to find the sum of $1\frac{7}{10} \text{ and } 3\frac{3}{5}$

Let us first convert the mixed fractions to improper fractions

Multiply the whole number part by the fraction's denominator.

Add that to the numerator.

Then write the result on top of the denominator

Therefore,

$1\frac{7}{10} = \frac{10 \times 1 + 7}{10} = \frac{10+7}{10} = \frac{17}{10}\\\\3\frac{3}{5} = \frac{5 \times 3 + 3}{5} = \frac{18}{5}$

Now we can add both the fractions

$1\frac{7}{10} + 3\frac{3}{5} = \frac{17}{10} + \frac{18}{5}$

Make the denominators same

$1\frac{7}{10} + 3\frac{3}{5} = \frac{17}{10} + \frac{18 \times 2}{5 \times 2}\\\\1\frac{7}{10} + 3\frac{3}{5} = \frac{17}{10} + \frac{36}{10}\\\\\text{Add the fractions since the denominator is same }\\\\1\frac{7}{10} + 3\frac{3}{5} = \frac{17+36}{10} = \frac{53}{10}$