Guided Practice


Write the equation of the parabola in vertex form. The vertex is (−3, 3) and the parabola passes through the point (4, 150). Create a rough sketch of the graph to use as a visual aid.


A.
y = 3(x + 3)^2 + 3


B.
y = 4(x − 3)^2 + 3


C.
y = 50(x + 3)^2 + 4


D.
y = 3(x − 3)^2 + 3

Answer:

A.

y = 3(x + 3)^2 + 3

Step-by-step explanation:

The vertex form of the equation is y=a(x-h)2 + k  

You know that the vertex (h,k)  is (-3,3) and a point on the parabola is (4,150). So what you’re needed ing to find is a bc all of the other letters can be replaced into the equation.  

First I would put the equation into vertex form using the vertex given in the problem. : y= (x - (-3))2 + (3). Then I would use the ordered pair (4,150) and replace the x and y with those values

150 = a(4 + 3)2 + 3  

Now simplify

150 = a (7)2 + 3  

150 = 49a + 3      Important: please be sure to square.

147 = 49a

3= a  

Next replace a into the formula now leaving x and y alone.

y = 3 (x+3)2 + 3   [Vertex form]

I hope this helps. Have a great day!

Answer:

A.  [tex]y = 3(x + 3)^2 +3[/tex]

Step-by-step explanation:

The vertex form is:

[tex]y = a(x - h)^2 + k[/tex]

Where [tex]a[/tex] is the variable that determinate if the parabola is facing up or facing down and [tex]h[/tex] is the [tex]x[/tex] coordinate of the vertex and [tex]k[/tex] is the [tex]y[/tex] coordinate of the vertex.

So with the given values we have:

[tex]150 = a(4 + 3)^2 + 3[/tex]

Then isolate [tex]a[/tex] for find the missing value.

[tex]147 = a49\\\frac{147}{49} = a\\3 = a[/tex]

Then the final answer is [tex]y = 3(x + 3)^2 +3[/tex]

state the degree of f(x)= -x^4+x^2+x+1

what multiples to -36 but adds to 16

Resolver para y.
y-14=X ​

Please help me. I’m so confused

Simplify the following surd expressions
a) 9V3 -4V3 + V5 + 2V5
b) 10V2 + 4V7 - 6V2

6) Jennilsa is making ice cream. The recipe requires ½ cup of milk and 1 ½ teaspoons of sugar. Jennilsa wants to make the recipe using 1 cup of milk. To maintain the ratio, how much sugar is required when 1 cup of milk is used?

What is an objective summary?


a bulleted list of all the important ideas and events in a text in an order that reveals the theme
a bulleted list of all the important ideas and events in a text in an order that reveals the theme

a shorter version of a text that helps readers decide whether they want to read the text
a shorter version of a text that helps readers decide whether they want to read the text

a version of a text that leaves out all the descriptive details in order to highlight the most important ideas
a version of a text that leaves out all the descriptive details in order to highlight the most important ideas

a shortened version of a text that includes the most important events, ideas, and details without a reader’s opinion
a shortened version of a text that includes the most important events, ideas, and details without a reader’s opinion

If 7 > 2, then explain why -7 < -2.
A. The above statement is false.
B. Because the sign changed.
C. Because -7 is more negative and further to the left on the numberline than
-2.
D. Because 7 is an odd number and 2 is even, which flips when they become
negative, where -7 becomes even and -2 becomes odd.

Help me solve this -> g(x) = 2x + 3



g(7)

Which TWO systems of linear equations are solved correctly?

A savings account increases from ​150$ to ​153$. What is the percent increase of the savings​ account?

PLEASE HELPPP RUNNING OUT OF TIMMEE
Two shops sell baked beans in different sized tins. Calculate the price per 1.25 kg for shop B. Give your answer in pence.

Shop A) 1.25kg for £4.85
Shop B) 250g for £0.88

PLS HELP!!! WILL MARK BRAINLIEST!!! In the sign, m∠3 = (3y + 7)°, m∠4 = (5y + 5)°, and y = 21. Show that the sign posts are parallel.

URGENT PLEASE DO!! will give brainliest to first person to answer

Science is based on the correspondence theory of truth, which claims that truth corresponds with facts and reality. True or False and i will brainly list if correct

Help me with this question please!! Show all work

Lizzy makes $1800 per month working in a nail Spa. And Jackie makes 1500 per month plus 20%
a
percent commission per service per costumer. How many nail services Jackie has to complete per
month in order to make as much as Lizzy does?

Slope between (6,-11) and (2,-1)

A robot can complete 5 tasks in 34 hour.
Each task takes the same amount of time.
**Round to the hundredths place.
a. How long does it take the robot to
complete one task?

3/4 divided by 5 = 3/4, so it’s 3/4 hours per task

among 240 students it was fount three - fourth of the students preferred to play hockey and one-eighth of the students preferred to play cricket the number of students whole prefer to play hockey and cricket respectively are.

a) 180 and 30 b) 40 and 180
c) 180 and 40. d) none of these​

3x=15 question answer

Determine whether the two expressions are equivalent. If so, tell what property is applied.


18 + (6 + 20) and (18 + 6) + 20



Determine whether the two expressions are equivalent. If so, tell what property is applied.


(20 – 4) – 2 and 20 – (4 – 2)

If you answer this today you get 25 points

Find the coordinates of the point 1/3 of the way from A to B

6.
Identify the vertex of the parabola.



A. (−4, 0)

B. (−3, 1)

C. (1, −3)

D. (−1, −3)

PLEASE HELP ASAP!!!!!!! I GIVE BRAINLIEST AND POINTS! PLZ NO LINKS I GRINDED FOR THESE POINTS
LOOK AT THE PIC BELOW

It t takes a snail 10 seconds to move 1 centimeter.


How many centimeters does said snail move after 2 seconds?
2.5?

20 + 3xy - 4xy +y2 + 10 -y2

Find the slope. simplify if needed.

(-10,5) and (2, -3)

with complete solution please I need Thanks​

Given f(x) = x â’ 7 and g(x) = x2. Find g(f(4)). G(f(4)) =.