Which statements are true about the graph of the function f(x) = x2 – 8x + 5? check all that apply.

the function in vertex form is f(x) = (x – 4)2 – 11.
the vertex of the function is (–8, 5).
the axis of symmetry is x = 5.
the y-intercept of the function is (0, 5).
the function crosses the x-axis twice.

The correct options are,

The function in vertex form is .

The y-intercept of the function is (0, 5).

The function crosses the x-axis twice.

Step-by-step explanation:

Here the given equation is,

Which is an equation of upward parabola ( leading coefficient is positive ), along y-axis,

We know that,

For the quadratic equation ,

The axis of symmetry is,

By comparing,

The axis of symmetry of the given function would be,

Now, add and subtract 16 on the right side in equation (1),

Which is the required vertex form of the given equation,

In the vertex form , (h,k) is called vertex,

By comparing,

The vertex of the equation (1) is (4,-11),

For y intercept, substitute x = 0 in equation (1),

Thus, the y-intercept of the given function is (0,5).

Since, when f(x) =0,

Hence, the x-intercepts of the given function are, (4+√11,0) and (4-√11,0),

⇒ The function crosses the x-axis twice.

to find the perimeter of the rectangle this is the expression:

x-9+x-9+3x-4+3x-4=138

if we simplify it:

8x-26=138

remember, 138 is what it all adds up to

the length is 11.5cm

the width is 57.5cm

the area is 661.25cm^2

the answers might not be correct use at own risk