The function P(x)=(x+3)^2+2 write a new function after a translation of 2 units up.

Mathematics

1 answer:

IrinaVladis [17]3 years ago

7 0

Answer:

(x+3)^2+4 or x^2+6x+13

Step-by-step explanation:

The number in the parenthesis means the translation from the original left or right. The second number (outside of the parenthesis, in this case 2), is the translation from the original up or down. So, if the question were shift the graph of this function two units down, then the second number would decrease by 2. However, because the equation is shift the graph up 2 units, then you would add 2 to the second number. Same thing with the number inside of the parenthesis.

You might be interested in

2/5 times 2/3 = what

Luda [366]

Answer:

16/15

Step-by-step explanation:

5 0

3 years ago

Please help ASAP. PRE ALGEBRA

telo118 [61]

Answer:

x=35

Angle measurements of the triangle from least to greatest:

35,40,105

Step-by-step explanation:

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

So we know that 40+3x+x=180.

First step is to combine the like terms on the left hand side:

40+4x=180

Second step is to subtract 40 on both sides.

4x=140

Third step is to divide both sides by 4:

x=35

The angle that is given is the one that is 40 degrees.

So the angle whose measurement is x is really 35 degrees.

The angle whose measurement is 3x is real 3(35)=105 degrees.

In order from least to greatest we have:

35,40,105

6 0

3 years ago

Given M is the midpoint ABA. The coordinate of A are (-4,2) and the cordinates of M are (1,1). Find the coordinate of B. Choose

4vir4ik [10]

Answer:

The coordinate of B is (6,0)

Step-by-step explanation:

Given;

coordinate of A = (-4,2) = (x₁, y₁)

coordinate of M = (1,1)

let coordinate of B = (x₂, y₂)

Mid-point is given by;

$M = \frac{X_1 + X_2}{2} , \frac{Y_1 + Y_2}{2}\\\\M= (1,1)\\\\1,1 =\frac{X_1 + X_2}{2} , \frac{Y_1 + Y_2}{2}\\\\ \frac{X_1 + X_2}{2} = 1 ----equation (1)\\\\\frac{Y_1 + Y_2}{2} = 1 -----equation(2)\\\\Solving \ equation(1)\\\\\frac{-4+ X_2}{2} = 1\\\\-4+ X_2 = 2\\\\X_2 = 2+4\\\\X_2 = 6\\\\Solving \ equation(2)\\\\\frac{Y_1 + Y_2}{2} = 1\\\\\frac{2+ Y_2}{2} = 1\\\\2+Y_2 = 2\\\\Y_2 = 2-2\\\\Y_2 = 0\\\\B = (X_2, \ Y_2)\\\\B = (6, \ 0)$