Question

Which inequality is shown in the graph?
A. y=x^2 - 5
B. Y _> x^2 +5
С. Y _> x^2 - 5
D. Y_< x^2 -5

Answer 1

Answer:

The answer to your question is: letter C

Step-by-step explanation:

Data

Find the Parabola's equation and express the equation as an inequality.

Vertex = (0, -5)

Equation

                               (x- h) ² = 4p(y - k)

                               x² = y + 5

                              y = x² - 5

But, we need the area upper the parabola, then

                              y ≥ x² - 5

Answer 2

The inequality is shown in the graph is option (C) y ≥ x² - 5

Parabola

• Parabola is a symmetrical open plane curve formed by the intersection of a cone with a plane parallel to its side.
• The path of a projectile under the influence of gravity follows a curve of this shape.

How to solve this problem?

The steps are as follow:

• First we will finding the Parabola's equation and express the equation as an inequality Vertex = (0, -5) which is as follow:

(x- h) ² = 4p(y - k)

x² = y + 5

y = x² - 5

• Since we have to find the upper value so the value of y will be   y ≥ x² - 5

So the the correct answer will be option (C) y ≥ x² - 5

Learn more about Parabola here:

https://brainly.com/question/24230381

#SPJ2