All categories

4 years ago

For f(x) = x2 and g(x) = (x − 5)2, in which direction and by how many units should f(x) be shifted to obtain g(x)?

Mathematics

2 answers:

TEA [102]4 years ago

8 0

Right 5 units is the answer.

Katarina [22]4 years ago

6 0

Remark: One of the ways you can do this and be sure of the answer is to graph both equations. Desmos is most helpful. I will do that for you. You can see it below. The key is to look at the vertex. Which way did the low point (vertex) go? Up down, left, right. f(x) is the red parabola. It's vertex is at (0,0) g(x) is the blue parabola. The low point is on the x axis, but where and which way have you gone?

You might be interested in

Find the first five terms of the sequence in which a1 = –10 and an = 4an – 1 + 7, if n ≥ 2.

Sholpan [36]

The first five terms of the sequence are -10, -33, -125, -493, -1965

Explanation:

The given expression is $a_n=4a_{n-1}+7$

And $a_1=-10$ is the first term of the sequence.

We need to determine the first five terms of the sequence.

Second term:

Substituting n = 2 in the expression $a_n=4a_{n-1}+7$ , we have,

$a_2=4a_{2-1}+7$

$a_2=4a_1+7$

$a_2=4(-10)+7$

$a_2=-40+7=-33$

Thus, the second term is -33

Third term:

Substituting n = 3 in the expression $a_n=4a_{n-1}+7$ , we have,

$a_3=4a_2+7$

$a_3=4(-33)+7$

$a_3=132+7=-125$

Thus, the third term is -125

Fourth term:

Substituting n = 4 in the expression $a_n=4a_{n-1}+7$ , we have,

$a_4=4a_3+7$

$a_4=4(-125)+7$

$a_4=-500+7=-493$

Thus, the fourth term is -493

Fifth term:

Substituting n = 5 in the expression $a_n=4a_{n-1}+7$ , we have,

$a_5=4a_4+7$

$a_5=4(-493)+7$

$a_5=-1972+7=-1965$

Thus, the fifth term is -1965

Hence, the first five terms of the sequence are -10, -33, -125, -493, -1965

8 0

4 years ago

Y=11x+6x^{2}+x^{3}+6

Minchanka [31]

Answer:

3x*2+12x+11

Step-by-step explanation:

8 0

3 years ago

(05.01)Which statement best describes the area of the triangle shown below?

cluponka [151]

Area of triangle = 1/2 bh =1/2(4)(4) = 8

answer
Area of triangle = 8 square unit

6 0

3 years ago

How would i solve this (-4,2); m=1/2

Setler [38]

Answer:

I'm pretty sure you have to do slope intercept form so it would be like this.

Y= mx+b

M is 1/2 and the X is given in the ordered pairs. Y is also given but it counts as the intercept so it is actually the 'B' of the equation. YOu just have to fill it in.

Y= 1/2(-4) + 2

4 0

3 years ago

PLEASE HELP I WILL GIVE BRAINLEST!!!

Furkat [3]

Answer:

=16+9=25

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers