Question

What is the equation of the axis of symmetry of the parabola y=-2x^2+8x-7?
x=.....

Answer 1

Equation of axis of symmetry is x = 2

Explanation:

The equation of the parabola is given as;

y = -2x² + 8x - 7

The equation of the axis of symmetry is given by;

x = -b/2a

In the parabola equation given and using letters of quadratic equation, we can say that;

a = - 2

b = 8.

c = -7

Thus;

x = -b/2a = -8/(2 × - 2)

x = 8/4

x = 2

Equation of axis of symmetry is x = 2