Question

What is the domain and range of the quadratic equation y = –3(x – 10)2 + 5?

Domain: All Real Numbers
Range: y greater than or equal to 5

Domain: All Real Numbers
Range: y less than or greater to 5

Domain: All Real Numbers
Range: y greater than or equal to 10

Domain: All Real Numbers
Range: y less than or greater to 10

Answer 1

Because the (x-10)^2 term has a negative coefficient (-3), the graph of this function is a parabola opening down. How can you use this fact to eliminate the answers that could not be correct?

Answer 2

http://www.mathwarehouse.com/geometry/parabola/images/standard-vertex-forms-thumb.png <---- notice ----> \(\bf y = –3(x – 10)^2 + 5\)

your parabola equation is already in vertex form, what do you think will be the vertex?