Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Find the coordinates of the vertex of the following parabola algebraically. Write your answer as an
(x,y) point.

y=x^(2)+4
Answer:

Find the coordinates of the vertex of the following parabola algebraically. Write your answer as an $(x, y)$ point. $\newline$ $y=x^{2}+4$ $\newline$ Answer:

View step-by-step help

View step-by-step help

Find derivatives using logarithmic differentiation

Full solution

Q. Find the coordinates of the vertex of the following parabola algebraically. Write your answer as an

(x, y)

point.

\newline

y=x^{2}+4

\newline

Answer:

Use Vertex Formula: To find the vertex of a parabola in the form $y = ax^2 + bx + c$ , we can use the vertex formula $x = -\frac{b}{2a}$ . In this equation, $y = x^2 + 4$ , $a = 1$ and $b = 0$ , since there is no $x$ term.
Substitute Values: We substitute $a = 1$ and $b = 0$ into the vertex formula to find the $x$ -coordinate of the vertex. $\newline$ $x = -\frac{b}{2a} = -\frac{0}{2\cdot 1} = 0$
Calculate Y-coordinate: Now that we have the $x$ -coordinate of the vertex, we can substitute it back into the original equation to find the $y$ -coordinate. $y = x^2 + 4 = 0^2 + 4 = 4$
Find Vertex Coordinates: The coordinates of the vertex are $(x, y) = (0, 4)$ .

More problems from Find derivatives using logarithmic differentiation

Question

\newline

\sqrt{\frac{9}{25}}

\newline

Posted 3 months ago

Question

\newline

1,000

\text{ milligrams}

\_\_\_\_

\text{ grams}

Posted 3 months ago

Question

3

-gallon bottle of bleach costs

\$11.52

. What is the price per quart?

\newline

Posted 3 months ago

Question

Maureen can't wait to make chocolate chip zucchini bread with zucchini from her garden. Her recipe calls for

8

ounces of chocolate chips per loaf. If she has enough zucchini to make

4

loaves of zucchini bread, how many pounds of chocolate chips does she need?

\newline

Hint: There are

16

1

\newline

Write your answer as a whole number, decimal, or simplified fraction. Do not round.

\newline

Posted 3 months ago

Question

A whale is swimming due north at a speed of

30

miles per hour. Just

5

miles away, a whale-watching tour boat is traveling south, directly toward the whale, at a speed of

46

miles per hour. How long will it be before they meet? If necessary, round your answer to the nearest minute.

\_\_\_\_

\_\_\_\_

Posted 3 months ago

Question

\newline

500

=

Posted 4 months ago

Question

\newline

2,000

=

Posted 4 months ago

Question

\newline

750

=

Posted 4 months ago

Question

\newline

1,500

=

Posted 4 months ago

Question

\newline

1,500

=

Posted 4 months ago