Question

Describe how to graph the solution of y ≤ −x^2 + 2x.

Answer 1

In your description, did you

graph the parabola opening down

with the vertex at (1, 1)?

factor the quadratic as y –1(x)(x – 2)?

find the roots of the parabola to be 0 and 2?

graph the parabola with a solid boundary line?

test a point that is not on the boundary?

shade inside the parabola?

Answer 2

Make a table, plotting the points and making the line, then shade in the area BELOW the line, since y is less than or equal to.