Question

What is the range of the graph of y = (x - 4)^2 + 3

Answer 1

Hint: In general, the range of y = a(x-h)^2+k is [k, infinity) if a > 0

Answer 2

Y ≤ 3??

Answer 3

close, it should be \[\Large y \ge 3\]

Answer 4

What about this....
4x^2 + 13x = -3

Answer 5

You need to complete the square. Do you know how do to that?

Answer 6

no

Answer 7

So the answer would be x = -1/4 and x = -3

Answer 8

you're looking for the range correct?

Answer 9

No just solving the equation

Answer 10

oh sry, I thought you were finding the range

Answer 11

4x^2 + 13x = -3

4x^2 + 13x + 3 = 0

Now use the quadratic formula to solve for x


x = (-b+-sqrt(b^2-4ac))/(2a)


x = (-(13)+-sqrt((13)^2-4(4)(3)))/(2(4))


x = (-13+-sqrt(169-(48)))/(8)


x = (-13+-sqrt(121))/8


x = (-13+sqrt(121))/8 or x = (-13-sqrt(121))/8


x = (-13+11)/8 or x = (-13-11)/8


x = -2/8 or x = -24/8


x = -1/4 or x = -3


So you are correct, nice job

Answer 12

Thank you thank you! :)

Answer 13

sure thing