The general form of a quadratic equation is y = a(x-h)² + k, where (h, k) is the vertex of the parabola.

Given that the vertex (h, k) is (1, -3), we can substitute these values into the equation to get y = a(x-1)² - 3.

We also know that the point (2, -2) lies on the graph. We can substitute these values for x and y in the equation to solve for a:

-2 = a(2-1)² - 3
-2 = a(1) - 3
-2 + 3 = a
a = 1

So, the general form of the quadratic equation is y = (x-1)² - 3.

Question

The general form of a quadratic equation is y = a(x-h)² + k, where (h, k) is the vertex of the parabola.

Given that the vertex (h, k) is (1, -3), we can substitute these values into the equation to get y = a(x-1)² - 3.

We also know that the point (2, -2) lies on the graph. We can substitute these values for x and y in the equation to solve for a:

-2 = a(2-1)² - 3
-2 = a(1) - 3
-2 + 3 = a
a = 1

So, the general form of the quadratic equation is y = (x-1)² - 3.

Knowee AI · Accepted Answer

The general form of a quadratic equation is y = a(x-h)² + k, where (h, k) is the vertex of the parabola.

Given that the vertex (h, k) is (1, -3), we can substitute these values into the equation to get y = a(x-1)² - 3.

We also know that the point (2, -2) lies on the graph. We can substitute these values for x and y in the equation to solve for a:

-2 = a(2-1)² - 3
-2 = a(1) - 3
-2 + 3 = a
a = 1

So, the general form of the quadratic equation is y = (x-1)² - 3.

The vertex of a quadratic function is (1, -3), and a point on the graph is (2, -2). Which of the following represents the general form of the quadratic equation?Question 4Answera.b.c.d.