While the vertex of the function f(x) = x^2 is (0, 0), the vertex of the function g(x) = x^2 + 2x + 1 is (-1, 0).
Whereas both function has same y-cordinate, their x-coordinate are different which indicates that the function g(x) = x^2 + 2x + 1 is a horizontal translation of the function f(x) = x^2.

4 0

3 years ago

Read 2 more answers

The endpoints of AB¯¯¯¯¯¯¯¯ are 8 and 16. Find the coordinate of the point P that partitions the segment in the ratio 3 : 1.

Marina CMI [18]

Answer:

The coordinates of the point P is 14.

Step-by-step explanation:

Let point A is at 8 and B is at 16.

P is the point where the line segment in the ratio 3 : 1.

This is also where P is $\frac{3}{4}$ rds the distance from A to B

The total distance is |16 - 8| = 8

The distance between point AB is 8 units.

$\frac{3}{4}$ of 8 is 6.

So, the point P is 6 units from A .

8 + 6 = 14

P is at 14

Hence, the coordinates of the point P is 14.

This also works if you go 1/3 from B.

-8 is 4 from -4 which is 1/3 of 12.

3 0

2 years ago

Tell whether the given value is a solution of the inequality.<br> x + 1 > 10; x = 9

Oliga [24]

Answer:

given x+1 > 10,

x > 10 - 1

x > 9

which means x MUST BE more than 9 , which also means 9 isnt included in the inequality therefore x = 9 is not a solution.

6 0

2 years ago