Need help plotting ?

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1 Answer
Jun 6, 2018

show below please.

Explanation:

the general quadratic formula is:

y=ax^2+bx+cy=ax2+bx+c

the vertex of quadratic formula given by:

x_v=-b/(2a)xv=b2a

y_v=a(x_v)^2+b(x_v)+cyv=a(xv)2+b(xv)+c

if a positive the shape of sketch will be uuu
but if a negative the shape will be nnn

now lets sketch y=-12x^2+24xy=12x2+24x

lets find the vertex

x_v=-b/(2a)=-24/-24=1xv=b2a=2424=1

y_v=-12+24=12yv=12+24=12

"The vertex"=(1,12)The vertex=(1,12)

find other points:

f(2)=0f(2)=0

f(1)=12f(1)=12

f(0)=0f(0)=0

f(-1)=-36f(1)=36

f(-2)=-96f(2)=96

show below how our sketch will become:

jamesjames