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

It doesn t look like either. There doesn t seem to be an equation that fits with this one....

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

watervliet2586

11.03.2022

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

0,0(0 оценок)