Review the graph. On a coordinate plane, a parabola opens up and goes through (negative 2, 5), has vertex (0, 1), and goes through (2, 5). Another parabola opens to the right and goes through (8, 4), has vertex (negative 8, 0), and goes through (8, negative 4). Everything inside of the first parabola and above the second parabola within the first parabola is shaded. Which system of inequalities has the solution set shown in the graph?

Respuesta :

Answer:

The value of h is h = -1.5

Step-by-step explanation:

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

(h , k) are the coordinates of its vertex point

a is the coefficient of x²

∵ The graph is a parabola opens up

∵ It has a vertex at (-1.5, 0)

∵ The vertex of the parabola is (h , k)

∴ h = -1.5 and k = 0

∵ The graph shows f(x) = (x - h)²

∵ The coordinates of the vertex are (h , k)

∵ h = -1.5 and k = 0

∴ h = -1.5

The value of h is h = -1.5

The value of h is h = -1.5

We have given that,

On a coordinate plane, a parabola opens up and goes through (negative 2, 5), has vertex (0, 1), and goes through (2, 5). Another parabola opens to the right and goes through (8, 4), has vertex (negative 8, 0), and goes through (8, negative 4).

The quadratic equation is represented by a parabola,

What is the vertex form of the parabola?

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

(h, k) are the coordinates of its vertex point

a is the coefficient of

∵ The graph is a parabola that opens up

∵ It has a vertex at (-1.5, 0)

∵ The vertex of the parabola is (h , k)

h = -1.5 and k = 0

∵ The graph shows f(x) = (x - h)²

∵ The coordinates of the vertex are (h, k)

∵ h = -1.5 and k = 0

h = -1.5

The value of h is h = -1.5.

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