The function f is given in three equivalent forms.
Which form most quickly reveals the vertex?

Option B is the correct option.

Step-by-step explanation:

We know that the vertex form of a quadratic's equation is generally expressed as

y = a(x - h)² + k

where (h, k) is called the vertex of the quadratic function

In our case, given the function

now comparing the equation with y = a(x - h)² + k

Here:

h = -3

k = 25/2

Therefore, the vertex of the function is:

(h, k) = (-3, 25/2)

Thus,

The    form most quickly reveals the vertex.

Hence, option B is the correct option.

y=-3x-7

Explanation: In the form y=mx+b, m is the slope and b is the y-intercept. To find the slope given 2 points, you can use the method: (y2-y1)/(x2-x1). When you substitute the points into this formula, it becomes:

(2-(-10))/((-3)-1)
=12/-4
=-3
m=-3

Now that you have the value of m, your equation becomes: y=-3x+b. All you need to do now is find b. To do so, you can choose either one of the points to substitute into your equation. I’ll use the first point as an example:

2=-3(-3)+b
2=9+b
b=-7

Now that you have the value of b, you can write in the final equation: y=-3x-7.

Hope that helps シ