Plz help will give what I got (74 points) 4. Find the standard form equation of the quadratic function that has a vertex at (2, 5) and goes through the point (3, 8). Show your work. (6 points total)
Step 1: Substitute the vertex into y = a(x – h)2 + k. (1 point)

Step 2: Substitute (3, 8) into the equation and solve for a. (2 points)

Step 3: Substitute the value of a back into the vertex form. (1 point)

Step 4: Expand the binomial and use the distributive property to rewrite the vertex form in standard form. (2 points)

When written in "vertex form":

• (h, k) is the vertex of the parabola, and x = h is the axis of symmetry.

• the h represents a horizontal shift (how far left, or right, the graph has shifted from x = 0).

• the k represents a vertical shift (how far up, or down, the graph has shifted from y = 0).

• notice that the h value is subtracted in this form, and that the k value is added.

            If the equation is y = 2(x - 1)2 + 5, the value of h is 1, and k is 5.

            If the equation is y = 3(x + 4)2 - 6, the value of h is -4, and k is -6.

Step-by-step explanation: