Question

Identify the maximum or minimum value and the domain and range of the graph of the function y = 2(x – 3)2 – 4.

a. minimum value: –4
domain: all real numbers
range: all real numbers –4

b. maximum value: 4
domain: all real numbers
range: all real numbers 4

c. maximum value: –4
domain: all real numbers –4
range: all real numbers

d. minimum value: 4
domain: all real numbers4
range: all real numbers

Answer 1

I hope you know Calculus...

Answer 2

you have the form you want, the "vertex" form
\[y=(x-h)^2+k\] has vertex \((h,k)\)

Answer 3

Or do you know how to play smart given these choices?
Plug and play - find the maximum value.

Answer 4

you see that the vertex is \((3,-4)\) and that you have a parabola that opens up, so \(-4\) is a minimum

Answer 5

i have no idea how to.

Answer 6

so its A ?

Answer 7

since only one of your choices has a minimum of \(-4\) pick that one
no calculus required

Answer 8

thanks !