Question

pleasseee help!! Graph the function. y = -x + x2

Answer 1

wait, is that \[y=-x + x^2 ?\]

Answer 2

is it point up or down

Answer 3

This is a difference of two squares problem

Answer 4

for \[ax^2+bx+c \] the value of a determines whether it opens up or down. (if a is positive then it opens up...)

Answer 5

is more of it on the first quadrant then the second?

Answer 6

More? parabolas extend to infinity...

Answer 7

like to the left or right the majoriy of the openness

Answer 8

the majority of the graph will be in the first quadrant.

Answer 9

\(\large y=-x+x^2=x(x-1) \)

written in standard form, \(\large y=ax^2+bx+c=\color {red}1\cdot x^2-\color {red} 1 \cdot x+\color {red}0 \)
easy to see the x intercepts are at x=0, x=1, the vertex is x=\(\large -\frac{b}{2a} \) where a=1, b=-1...
this is a parabola opening upwards (a is positive)