Find the equation of a parabola with a vertical axis and its vertex at the origin and passing through the point (-2, 3).

Step-by-step explanation:

Hi there!

Because we're given the vertex of the parabola, we can determine its equation in vertex form:

where the vertex is

Plug in the vertex (0,0)

Now, we must solve for a. Plug in the given point (-2,3) and solve for a:

Therefore, the value of a is . Plug this back into :

I hope this helps!

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