Solution :
Given, the equation .
To graph the equation on the coordinate plane, we first need to derive the different points of the equation ,
The graph plotted using these points is shown in the figure,
A=h/2(a+b)
A=h/2a+2b
A(2a+2b)=h
You first divide 40 by 19:
19/40=?
Then you convert that to percentage by dropping the decimal point and attaching a %
(hint: you should get 48% about :)
We know expression is used for represent the derivative.
Actually, derivative is the second name of " Rate of Change".
And if we read , it represents the "Rate of change of y with respect to x".
In simple words, a derivative is the rate of change or slope of a very small portion of a function.
dy represents very small change in y-coordinate and dx represents very small change in x-coordinate.
Because deriviate is the second name of " a very small rate of change".
We use to represent the derivative.
Axis of symmetry = x = -b/2a
where y = ax² + bx + c
f(x) = x² + 6x - 1 ⇒ a = 1 ; b = 6 ; c = -1
x = -(6)/2(1) = -6/2 = -3
g(x) = -x² + 2 ⇒ a = -1 ; b = 0 ; c = 2
x = -0/2(-1) = 0/-2 = 0
h(x) = 2x² - 4x + 3 ⇒ a = 2 ; b = -4 ; c = 3
x = -(-4)/2(2) = 4/4 = 1
least : f(x) = x² + 6x - 1 ; axis of symmetry is -3
middle : g(x) = -x² + 2 ; axis of symmetry is 0
greatest : h(x) = 2x² - 4x + 3 ; axis of symmetry is 1