What is the range of y = 3(x - 5)2 + 10?

y ≥ 10

Step-by-step explanation:

y = 3 * (x - 5)² + 10

x - 5 = √(y - 10)/3

x = √(y - 10)/3 +5

since so long as the number under the √ is not an imaginary number (negative), x is exited

∴ y≥10 is the range of y

pay attention in your classes and concentrate the best thing you can do to raise your test scores is to pay attention when you're supposed to be learning the material: in class!

take good notes.

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note: the best i know.

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x