A quadratic function y = f(x) is plotted on a graph and the vertex of the resulting
parabola is (6, -3). What is the vertex of the function defined as
g(x) = f(-x) - 3?

Answer: (-6, - 6)

Step-by-step explanation:

Here we have two transformations, and the first step will be to explain those transformations:

Reflection over the y-axis.

For a function f(x), the reflection over the y-axis is written as:

g(x) = f(-x)

Then if we initially had a point (x, y), the transformed point will be (-x, y).

Vertical translation.

We can define a vertical translation of N units as:

g(x) = f(x) + N

if N > 0, the translation is up.

If N < 0, the translation is down.

Then if we start with a point (x, y), the transformed point will be (x, y + N)

In the case of this problem we have g(x) = f(-x) - 3

This means that N = -3

Then if we initially had the vertex at the point (6, - 3)

The transformed point will be: changing the sign of the x-component and subtracting 3 in the y-component, then the transformed vertex point is:

(-6, -3 - 3) = (-6, - 6)

The vertex of the resulting  parabola will be (-6, -6)

Given the function y= f(x), plotted on a graph and the vertex of the resulting

parabola is (6, -3), if this coordinate is reflected over the y-axis, the reflection rule will be:

To get the corresponding function [tex]g(x) = f(x) - 3\\[/tex]

[tex]g(x) = [(-6, -3) - 3]\\g(x) = (-6, -3-3)\\g(x) =(-6, -6)[/tex]

Hence the vertex of the resulting  parabola will be (-6, -6)

Learn more on reflection here: https://brainly.com/question/14460986

You want to know about the dining habits of college students in the US. Since you do not have resources to survey all college students in the nation, you take a random sample of 1501. You learn that, on average, they eat out 4 times per week. Also, these sample data are generally distributed about the average of 4 times, by 1.5 times per week. 1. What is the average times per week that college students across the nation eat out

Need help Pronto! Will give braintliest.

Solve for m
b= 1/2mv

ashley's tricycle has two different wheel sizes: one larger wheel and two smaller wheels. As Ashley travels the distance between her house and her neighbor's house on the tricycle, the larger wheel rotates 4 times, and each of the small wheels rotate 12 times. If half the circumference of the larger wheel is 2 inches more than the circumference of one of the smaller wheels, what is the distance, in inches, traveled by the tricycle between ashley's house and her neighbor’s house?

A. 4 inches
b. 48
c. 60
d. 16

Pls help answer correctly for brainliest pls and 50 points

If x = 4 then 2x + 6 =

If b = 12 then 2(3b + 1) =

If x = 5 then x^2 + 4 =

If x = 2 then 9x + 13 =

If x = 5 then 4x - 1 =

If x = 3 then 4x - 3 =

If s = 6 then 9 + 3s =

If x = 4 then 3x - 4 =

If n = 8 then 3(n + 1) =

If n = 6 then 5(n - 5) + 16 =

is 42x - 56y equivalent to 42 (x + 14y)​

8(0.25n-2)+n=-0.5(8-4n)

The price of a television was increased from $200 to $250. By what percentage was the price of the television increased

n ÷ -6 = 4 - (-2)

-12

36

-36

12 ********************************

At Nick's school, 25% of the 72 sixth-grade students wear either glasses or contact lenses. How many sixth-grade students wear either glasses or contact lenses?​

6th grade math look at the pictures

HELP ASAP! I WILL GIVE 20 POINTS AND MARK AS BRAINLIEST!

y = 2(x - 2)2 + 1
10
What is the
a. Vertex
b. Axls of Symmetry line: x =
c.y.Intercepts:(

HELP ASAP "Steve's mom gives him 50$ to spend at the mall. He must but two new pairs of pants which each cost 19$ each. He can spend the rest at an arcade where each game cost 0.75
Which inequality can be used to determine the number (n) of arcade games Steve can play?


19 + 0.75n <50

19 + 0.75, n , <50

38 + 0.75n <50

38 + 0.75, n , <50

19 + 0.75n ≤50

19 + 0.75, n is less than or equal to, 50

38 + 0.75n ≤50

what is the sum of the interior angles of a 28-gon?
s = (n-2) 180

NEED HELP SOLVING PLEASE

plz help it's due till 12.06​

Amanda opened a lemonade stand on her street. It costs her $10.75 to buy the supplies each day, and she sells lemonade for $1.50 a cup. If she wants to make at least $50.00 in profits (sales - expenses) each day, what is the minimum number of cups of lemonade Amanda needs to sell? Input your answer as a whole number.

2х + y = 4
у = 3х – 1

An item is regularly priced at $80, Ryan bought it at a discount of 5% off the regular price. How much did Ryan pay?

What is the solution to this equation 2x + 10 equals 28

Find the area of a circle with diameter 12 m.
Use the value 3.14 for n, and do not round your answer.
Be sure to include the correct unit in your answer.

Please give me the correct answer ​

3x – 5 =-10
6. To solve the equation in the box for the
value of x, Michele started by adding 5 to both
sides. To get the correct answer, what must
Michele do next?
A divide both sides by 10
B. divide both sides by 3
C. multiply both sides by 10
D. multiply both sides by 3

Help please! This has to do with the Pythagorean theorem.

What is the value of x?

Rick is taking a 1-mile ride on his bicycle. For each rotation of his tire, he travels 72 inches. How many rotations will his tire make during the 1-mile trip?
O 73 rotations
O 83 rotations
O 780 rotations
O 880 rotations
SHOW YOUR WORK!!!

There are 9 times as many cubes in the black bag as in the green bag. The green bag has 12 cubes. How many cubes are in the black bag?

I
Tori had a $300 unpaid balance after last month's payment on her account. Her annual percentage rate is 21%. The minimum payment due is $25. How much of that is interest for one
month on the unpaid balance?

Proportions 6. A certain salsa is made with 6 parts tomato and 2 parts bell pepper. How many cups of tomato should be combined with 1.5 cups bell pepper? Write a proportion, then solve. ​