MATHEMATICS MIDDLE SCHOOL

The function f(x)=x^2 -6x+3 is transformed such that g(x)=f(x-2). Find the vertex of g(x). (5,6)

(5,-8)

(1,-6)

(3,-8)

Answers

Answer 1

Answer:

Answer:

$g(x) = (x-2)^2 -6(x-2) +3$

$g(x) = x^2 -4x +4 -6x +12 +3$

$g(x) = x^2 -10 x +19$

$g(x) = x^2 -10 x + 25 +19 -25$

$g(x) = (x-5)^2 -6$

$y= (x-h)^2 -kk$

Where h,k represent the vertex and we got:

$(h,k)= (5,6)$

(5,6)

Step-by-step explanation:

We have this original function given :

$f(x) = x^2 -6x +3$

And we want to find the vertex for this new function $g(x) = f(x-2)$ and we have:

$g(x) = (x-2)^2 -6(x-2) +3$

And solving the square we got:

$g(x) = x^2 -4x +4 -6x +12 +3$

And adding similar terms we got:

$g(x) = x^2 -10 x +19$

Now we can complete the square like this:

$g(x) = x^2 -10 x + 25 +19 -25$

$g(x) = (x-5)^2 -6$

The general equation is given by:

$y= (x-h)^2 -kk$

Where h,k represent the vertex and we got:

$(h,k)= (5,6)$

(5,6)

Related Questions

Write a word problem with 16 for the product
Sabrina arrives late to science class. Her teacher is discussing organelles that convert energy from sunlight to chemical energy. Which organelle is the teacher talking about?A.chloroplasts B.mitochondria C.nuclei D.lysosomes
How many solutions are there to an inequality
In a necklace the ratio of yellow beads to blue beads is 3:1. What percentage of beads are yellow?
Lexi has a roll of shelf paper that is 800 cm long.she wants to cut the paper int i-m strips to line the shelves in her pantry.how 1-meter strips can she cut?

What is 80 miles in 2 hours

Answers

40 miles per hour because each hour is 80 divided by 2

Write 25,000 in expanded notation using exponents

Answers

25,000 in the expanded notation is 2.5 × 10⁴

What is an expanded notation?

Expanded notation, also called expanded form, is a handy way to write numbers that show the place value of each digit.

It looks like an addition problem and will help you break numbers down and understand their place value.

Given is a number 25000 we need to convert it into an expanded form,

25000 = 25 × 10³ = 2.5 × 10⁴

Hence, 25,000 in the expanded notation is 2.5 × 10⁴

Learn more about expanded notations, click;

brainly.com/question/401594

#SPJ3

Hi

25,000 = 25 × 10³ = 2.5 × 10⁴

Answer: 25,000 = 2.5 × 10⁴

Solve for x - Pre algebra

Answers

The sum of the measures of the interior angles of a triangle is 180 degrees.

Make the three angles add up to 180 in an equation.

6x + 130 + 4x = 180

Combine like terms.

10x + 130 = 180

Subtract 130 from both sides.

10x = 50

Divide both sides by 10.

x = 5 is your answer.

In this case you would set it up as
$6x + 4x + 130 = 180$
(180 represents the degree of the triangle)

Add up like terms
$10x + 130 = 180$
Subtract 130 to the other side (180-130)

$10x = 50$
Divide 10 to the other side ( 50/10)
.
$x = 5$
Hope this was clear :)

20 points please help

look at image below

Answers

I believe the answer is a rotation of 90 degrees counter clockwise around the origin and then a transformation of four units to the left

Hope this helped!

90° counterclockwise around the origin, and transformation 4 units left

Solve.

4/6 = 24/a

What is a