Question

oko

Answer 1

to get x intercept make y = 0 then solve for x

to get y intercept make x = 0 then solve for y

Answer 2

Can you do that @malehuman01 ?

Answer 3

We'll start by finding the y-intercept

like stated above...you make every 'x' in the equation = 0 and see what 'y' equals...so


y = 2x² – 8x – 10
becomes
y = 2(0)² - 8(0) - 10
y = 0 - 0 - 10
y = - 10

so we now know that the y-intercept is (0,-10)

how do you find the x-intercepts...?

Answer 4

Yeah I realized I kind of gave it away doing the y-intercept first lol

but to solve for the x-intercepts...you make y = 0 in your equation...and solve for x

so you have

y = 2x² - 8x - 10

this becomes

2x² - 8x - 10 = 0

So we can factor out a common factor here (2) and this will become

x² - 4x - 5 = 0

can you factor that left hand side?

what 2 numbers multiply to get -5 AND add to get -4?

Answer 5

Right....so you have

\[(x - 5)(x + 1) = 0\]

Now you have 2 factors...that make it possible to get 0

so you can split this up into 2 different equations

\[x - 5 = 0\]
\[x + 1 = 0\]

Can you solve for 'x' in each equation...?

Answer 6

No problem!