Which function has a vertex on the y-axis?
f(x) = (x – 2)2
f(x) = x(x + 2)
f(x) = (x – 2)(x + 2)
f(x) = (x + 1)(x – 2)

Step-by-step explanation:

we know that

The equation of a vertical parabola into vertex form is equal to

where (h,k) is the vertex of the parabola

If the vertex is on the y-axis

then

the x-coordinate of the vertex is equal to zero

so

substitute

therefore

the vertex is the point

This function has the vertex on the y-axis

see the attached figure to better understand the problem

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1

there are 70 more legs than eyes at the dog show (196 – 126 = 70). dogs have two more legs than eyes, and humans have the same number of legs as eyes. thus 70 is twice the number of dogs at the show, so the number of dogs is half of 70, which is 35. to get the number of humans, subtract 35 from 63: 63 – 35 = 28.

step-by-step explanation: