Question

quadratic function S⁹G (x)=8(x+(13)/(2))²+2 plot another point on the parabola. If by selecting the second point and placing?

Answer 1

The quadratic function S^9G (x)=8(x+13/2)^2+2 represents a parabola. By substituting x=0 into the equation, another point on the parabola is found to be (0, 340), which helps in plotting the shape and direction of the parabola.

Step-by-step explanation:

The equation S9G (x)=8(x+(13)/(2))²+2 represents a parabola in vertex form. To plot another point on this parabola, we can select an x-value and substitute it into the equation to find the corresponding y-value. Let's choose x = 0 for simplicity.

Substituting x = 0 into the equation, we get:

S9G (0)=8(0+(13)/(2))²+2 = 8(²)

This simplifies to:

S9G (0) = 8(6.5)² + 2 = 8(42.25) + 2

So, S9G (0) = 338 + 2 = 340.

Therefore, another point on the parabola is (0, 340). When graphing this point along with the vertex, you can see the shape and direction of the parabola more clearly.