All categories

2 years ago

Write y=x^2-4x-1 in vertex form

Mathematics

1 answer:

Dvinal [7]2 years ago

7 0

Answer: y= (x+2)² − 5

Step-by-step explanation:

The way I got this answer is by completing the square. The first step though, when looking at this equation, is to see if we can factor it. The way to check is to look at the coefficient for x² which is 1, and the constant, in this case -1. If we multiply those together, we get −. Now we look at the middle term, 4x. We need to find any numbers that multiply to equal − 1x² and add to 4x. There aren't any, which means it is not factorable.

Hope I helped

You might be interested in

Use the law of syllogism to draw a conclusion from the two given statements.

Basile [38]

B. If it is Thursday, then Sara goes to the bank.

5 0

3 years ago

Read 2 more answers

What is the value on the number line for the blue dot

rosijanka [135]

Answer:

I believe 4, but I might be wrong.

Step-by-step explanation:

If you look, it's going down -4 every time. So that means if you're going up, it's going +4 after you skip a space. So, skip, then 0, then skip, and that's 4.

4 0

3 years ago

Read 2 more answers

An item is priced at $14.61. If the sales tax is 8%, what does the item cost including sales tax?

liubo4ka [24]

Answer:

(1.08)($14.61) = $15.78

4 0

2 years ago

Given the function f(x) = -5|x + 1| + 3, for what values of x is f(x) = -12? O X= -2. x = 1 O x= -2 x = 4 O x = 2. x = 4 O x = 2

puteri [66]

The values are x= -2 and x =4 of the given function f (x) =-5|x+1| +3

<h3>What is function?</h3>

Function is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

According to the question,

The given function is

$f(x) = -5|x + 1| + 3$

Here f(x) = -12

Substitute f(x) and solve for x

$- 12 = -5|x + 1| + 3$

By subtracting 3 on both sides

$- 12 - 3 = -5|x + 1| + 3 - 3$

$- 15 = -5|x + 1|$

By dividing -5 on both sides

$3 = |x + 1|$

We get absolute values for the function.

$x + 1 = 3 , x + 1 = -3$

By subtracting 1 on both sides

$x + 1 - 1 = 3 - 1 = 2\\\\x + 1 - 1 = - 3 - 1 = -4\\\\x = 2 , x = - 4$

Therefore, the values of x are 2 and - 4 of the given function f (x) =-5|x+1| +3

Learn more about function here: brainly.com/question/12431044

#SPJ1

4 0

1 year ago

A rectangular prism has a height of 12 centimeters and a square base with sides measuring 5 centimeters. A pyramid with the same

Varvara68 [4.7K]

Volume of prism = 5 x 5 x 12 = 300 cubic centimeters

Volume of pyramid = 5 x 5 x 6 = 150 cubic centimeters

Volume of space = 300 - 150 = 150 cubic cm

5 0

3 years ago

Read 2 more answers