Graph the quadratic functions y = -2x^2 and y = -2x^2 + 4.. after that compare and contrast the shape and position of both graphs.
Help please

Question

Graph the quadratic functions y = -2x^2 and y = -2x^2 + 4.. after that compare and contrast the shape and position of both graphs.
Help please

badhi · Answer

If the quadratic function is,$$f(x) = ax^2+bx+c$$, adjust it like the following,

$f(x)=a\left(x^2+\frac ba x + \frac c a \right)$
$=a\left[\left(x+\frac{b}{2a}\right)^2+\left(\frac c a-\frac {b^2}{4a^2}\right)\right] ---(1)$

by looking at the values of $a,b,c$ we can predict the graph.

If $a>0$ the graph will have a single minima else a single maxima
the minimum point is when $x=\frac{-b}{2a}$ 

To find the x values where the graph crosses the x axis find the roots of $f(x)=0$

anonymous · Answer

i don't really understand..

anonymous · Answer

can you please help me @iambatman