+0  
 
0
103
4
avatar+112 

What real value of t produces the smallest value of the quadratic t^2 -9t - 36?

 Jun 27, 2020
 #2
avatar
+1

what is that^ does it mean equal is the queston t=2-9t -36

 Jun 27, 2020
 #4
avatar+110780 
+1

This is a good question. the hat ^ is a common symbol so it is really good that you asked for its meaning.

 

The hat  ^ means 'to the power of'.

 

so

 

t^2  means  \(t^2 \)

 

7^2  means     \(7^2 = 7*7 = 49\)

Melody  Jun 27, 2020
 #3
avatar+110780 
+1

 

What real value of t produces the smallest value of the quadratic t^2 -9t - 36?

 

Let   y=t^2 -9t - 36

 

This is a concave up parabola.  The smallest value of y is the vertex.

 

Do you know how to find the axis of symmetry

 

 it is just    x      or in this case   t= -b/2a     (from the quadratic formula)

 

The smallest value of y will be ON the axis of symmetry.

 Jun 27, 2020

42 Online Users

avatar