All categories

2 years ago

Which equation is y = 9x^2 + 9x – 1 rewritten in vertex form

2 answers:

6 0

Vertex form equation
y = a(x - h)² + k

We need to solve it by completing quadratic form
To complete the quadratic form, multiply the equation by 4. We multiply it by 4 so the coefficient of x² is in complete quadratic form and the coefficient of x is an even number.
y = 9x² + 9x - 1
--------------------- (multiply 4)
4y = 36x² + 36x - 4

Change the quadratic expression into complete quadratic form
Add +9 to the both side
4y = 36x² + 36x - 4
4y + 9 = 36x² + 36x + 9 - 4
4y + 9 = (6x + 3)² - 4
4y = (6x + 3)² - 4 - 9
4y = (6x + 3)² - 13
------------------------------ divide by 4
$y = \frac{1}{4} (6x+3)^{2}- \frac{13}{4}$

user100 [1]2 years ago

3 0

You have to solve for 9x first

You might be interested in

Mrs. Matthews wants to have $18,000 in the bank in 2 years. If she deposits $9000 today at 6% compounded quarterly for 2 years,

OverLord2011 [107]

Depends if you want
1. find how much he will earn, find the differnce between that and 18000
2. see how much to invest till he will get 18000

A= $P(1+ \frac{r}{n})^{nt}$

A=futre amount
P=present amout
r=rate in decimal
n=number of times per year ccompounded
t=time in years

1.
A=?
P=9000
r=0.06
n=4 (quarter means 4 times per year)
t=2
?= $9000(1+ \frac{0.06}{4})^{(4)(2)}$
?= $9000(1+ 0.015)^{8}$
?= $9000(1.015)^{8}$
?=10138.4 will be earned
18000-10138.4=7861.6 needed

2.
A=18000
P=9000+x
r=0.06
n=4 (quarter means 4 times per year)
t=2
18000= $(9000+x)(1+ \frac{0.06}{4})^{(4)(2)}$
18000= $(9000+x)(1+ 0.015)^{8}$
18000= $(9000+x)(1.015)^{8}$
divide both sides by 1.015^8
15978.8=9000+x
minus 9000 both sides
6978.8 needed

if he willnot be investing any more, he needs $7861.6 more
if he will invest more he will need to invest $6978.8 more

6 0

2 years ago

Read 2 more answers

Triangle A and triangle B are drawn on the grid. Describe fully the single transformation which maps triangle A onto triangle B.

madam [21]

Answer:

Step-by-step explanation:

Triangle A, transforms into a smaler size, and goes into full shape. Triangle B, goes into the negative numbers.

7 0

1 year ago

Gavyn rolls a fair dice 540 times. How many times would Gavyn expect to roll a four?

Flura [38]

540 / 4 = 135 times.

3 0

1 year ago

Read 2 more answers

Triangles E F G and E prime F prime G prime are shown. Angles F E G and F prime E prime G prime are 72 degrees. Angles E F G and

Karolina [17]

Answer:

We need a non-included side of one triangle

Step-by-step explanation:

By means of the AAS postulate.

The Angle-Angle-Side postulate (AAS) tells us that if two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the two triangles are congruent.

3 0

2 years ago

Choose all sequences of transformations that produce the same image of a given figure.

elena-14-01-66 [18.8K]

Your answer: a reflection across the y-axis followed by a clockwise rotation 90° about the origin. A clockwise rotation 90° about the origin followed by a reflection across the x-axis. A counter-clockwise rotation 90° about the origin followed by a reflection across the y-axis. A reflection across the x-axis followed by a counter-clockwise rotation 90° about the origin.

Hope this helps <3

Stay safe

Stay Warm

-Carrie

Ps. It would mean a lot if you marked this brainliest

5 0

2 years ago