The figure shows a graph of the function f (x) on the xy-coordinate plane. Determine which statements about the graph below are true. Select all that apply

Options (2) and (6)

Step-by-step explanation:

Option (1).

The function f(x) has a maximum at x = -2.

False.

(It has minimum at x = 1)

Option (2)

The function f(x) has two real zeros.

True.

(Parabola is intersecting x-axis at the two different points)

Option (3)

The function is increasing in the interval (-2, ∞).

False.

[Function is decreasing in the interval (-2, 1) and increasing in the interval (1, ∞)]

Option (4)

There are two y-intercepts.

False.

(only one y-intercept, y = -1)

Option (5)

The vertex is (-2, 1)

False.

[Vertex is (1, -2)]

Option (6)

The range of the function is [-2, ∞)

True.

(y-values vary from y = -2 to y = ∞)

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions