What is the range of the graph of y = 5(x - 2)2 + 7?

Question

usukidoll · Answer

range is in the y-axis

anonymous · Answer

so is the range 7<y

anonymous · Answer

Use graphic calculator to solve: http://www.acalculator.com/graphing-calculator-online/

anonymous · Answer

The website is kinda confusing, thanks anyway. Can anyone explain how to find the range and what it is for this equation please??

usukidoll · Answer

you need to graph first
then find the range based off that graph which is located in the y-axis

zzr0ck3r · Answer

The leading coefficient is positive so you know it looks like a smiley face. This is in vertex form with vertex $(-2,7)$. So the lowest value the function takes is $7$.

zzr0ck3r · Answer

no need to graph. That is why they gave it in vertex form. 

A quadratic with positive leading coefficient and vertex $(a,b)$ has range $y\ge b$

A quadratic with negative leading coefficient and vertex $(a,b)$ has range $y\le b$

anonymous · Answer

Oh ok so y>=7 should be my answer, right?

usukidoll · Answer

oh... I see. x.x 
if $$y \geq 7$$ then we have a quadratic with a positive leading coefficient and vertex (a,b). IN this case we have a = -2 and b = 7 so (-2,7)

anonymous · Answer

Yay Thank you everybody who helped