Question

Create a table and graph the rule y=10-x2+3x label it's x and y intercepts

Answer 1

we are given

`y=10-x^2+3x`

Table:

we can select any random values of x and find y

At x=-2:

`y=10-(-2)^2+3(-2)`

`y=0`

At x=-1:

`y=10-(-1)^2+3(-1)`

`y=6`

At x=0:

`y=10-(0)^2+3(0)`

`y=10`

At x=1:

`y=10-(1)^2+3(1)`

`y=12`

At x=2:

`y=10-(2)^2+3(2)`

`y=12`

Graph:

x-intercept:

we can set y=0

and then we can solve for x

`0=10-x^2+3x`

`10-x^2+3x=0`

`x^2-3x-10=0`

`(x-5)(x+2)=0`

so, we get

`x=-2,x=5`

y-intercept:

we can plug x=0 and find y

`y=10-(0)^2+3(0)`

`y=10`