All categories

3 years ago

The graphs below have the same shape. f(x) = x^2 what is the equation of the graph of g(x)?

Mathematics

2 answers:

Yakvenalex [24]3 years ago

6 0

Answer:

Answer: OPTION B

Step-by-step explanation

By definition, the parent function is the simplest form of a function. In this case, you have the quadratic parent function

As you can see in the graph, the function g(x) is the obtained by shifting the parent function f(x) two units to the right, which is represented with:

Therefore, the equation of the function g(x) is:

kobusy [5.1K]3 years ago

3 0

Answer:

A. $g(x)=(x-4)^2$

Step-by-step explanation:

The graph of $f(x)=x^2$ is transformed to obtain the graph of g(x).

We can see from the diagram that, f(x) is shifted 4 units to the right to obtain the graph of g(x).

Therefore $g(x)=f(x-4)$ .

Hence the equation of g(x) is

$g(x)=(x-4)^2$

The correct answer is A.

You might be interested in

5 6 costs $150 to rent a party room at Pizza-n-Games, plus $6 per person for pizza and $5 per person for game ckets. The express

creativ13 [48]

Answer:

315

Step-by-step explanation:

4 0

2 years ago

If a shape has four sides, then it is a quadrilateral. A square has four sides. (It is asking What is a logical conclusion from

IRISSAK [1]

Answer:

B: A square is a quadrilateral

Step-by-step explanation:

6 0

2 years ago

Anna's hair has grown

ankoles [38]

1/2 inch
Explanation
I had this question on my homework and got it right. Hope this helps!

3 0

2 years ago

How do I condense each expression?

Ksivusya [100]

Answer:

$\log_5{\dfrac{x^5}{\sqrt[4]{8-x}}}$

Step-by-step explanation:

Make use of the rules of logarithms:

log(a/b) = log(a) - log(b)

log(a^b) = b·log(a)

$5\log_5{x}-\dfrac{1}{4}\log_5{(8-x)}=\log_5{x^5}-\log_5{\sqrt[4]{8-x}}=\log_5{\dfrac{x^5}{\sqrt[4]{8-x}}}$

5 0

3 years ago

Find a rational number halfway in between the two numbers. 7/9 and 3/4<br><br>

AlekseyPX

Answer: 55/126

Step-by-step explanation:

For this equation, the easiest way to solve is to change the denominators, or bottom halves, of both fractions to be the same thing. The easiest way to do this is to multiply themselves with a “funny form” of one. A funny form of one is just a way of representing “1” with numbers that aren’t 1. “2/2” is a funny form of one. log(x)/log(x) is a funny form of one, etc..

(3/7)x(9/9)=27/63

(4/9)x(7/7)=28/63

These fractions are very close. If you are willing to settle for an unsimplified fraction, the answer here would be 27.5/63. If you aren’t willing to settle for the unsimplified form, we can multiply both fractions by a funny form of one again, most easily 2/2, and find the median of the two fractions.

(27/63)x(2/2)=54/126

(28/63)x(2/2)=56/126

The median of these two fractions is 55/126.

55/126 is exactly halfway between 3/7 and 4/9.

7 0

3 years ago