What is the axis of symmetry of h(x)=5x^2+40x+64

The axis of symmetry of a parabola is the vertical line passing through its vertex. Given a parabola , the vertex x-coordinate can be found using

In your case, the formula leads to

So, this parabola is symmetric with respect to the line  

this shows a reflection over the x-axis and is translated one unit down and 6 units to the right (x + 6, y - 1)

hope this !

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answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq