Find the equation of the axis of symmetry and the coordinates of the vertex of the graph of the function y = 4x2 + 5x – 1.

The answer is:

- The vertex of the parabola is located on the point (-0.625,-2.563)

- The axis of symmetry of the parabola is:

To solve the problem, we need to remember the standard form of the equation of the parabola:

Also, we need to remember the way to find the vertex of the parabola.

We can find using the following formula

Then, we need to substitute "x" into the equation of the parabola to find the "y" value.

Also, we can find the axis of symmetry of a parabola with the same equation that we found the "x-coordinate" of the vertex, since in that coordinate is located the vertical line that divides the parabola into two symmetic pats (axis of symmetry).

So, we are given the parabola:

Where,

Then,

Finding the vertex, we have:

Now, substituting the x-coordinate value into the equation of the parabola to find the y-coordinate value, we have:

Then, we know that the vertex of the parabola is located on the point (-0.625,-2.563)

Also, we know that the axis of symmetry of the parabola is:

Have a nice day!

just sum

10 + 10 = 20