Math - x-intercepts and y-intercepts

posted by .

Hi,

can someone help me with intercepts.

find the intercepts of
f(x) = x^2 - 6x - 2

can someone show how to work this problem.
thanks.

• Math - x-intercepts and y-intercepts -

F(x)= Y = X^2 - 6X - 2.

X-Intercepts = The solution = The points where the graph crosses the X-axis.

Use the Quadratic formula to solve the
Eq:

X = (6 +- sqrt((-6)^2+4*1*2)) / 2,
X = (6 +- sqrt(36+8)) / 2,
X = (6 +- 6.632) / 2,

X = (6 + 6.632) / 2 = 6.316.
X = (6 - 6.632) / 2 = -0.-0.316.

Solution set: X = 6.316, and -0.316 =
X-Intercepts

In the given Eq, substitute 0 for X:
Y = 0^2 - 6*0 - 2 = -2 = Y-Int.

Similar Questions

1. Algebra

Did I do this right? Find the vertex, the x intercepts and y intercepts. f(x)=(x-2)^2-4 Vertex: 2,4 X intercepts: 0,0 4,0 Y intercepts: I didn't know how to get these. Could you explain?
2. algebra

How do you find any x-intercepts and y-intercepts. If no x-intercepts exist, state this. g(x)=2x^2+3x-1
3. Algebra I

Did I do these probelms correctly? Find the intercepts 1. y^2 = x^2 - 4x y^2 = x(x - 4) Y intercepts y^2 = 0(0 - 4) (0,0) x intercepts 0 = x(x - 4) 0 = x - 4 4 = x (4,0) 2. y = (x (x + 3))/(3x + 1)^2 y intercetps y = (0(0 + 3))/(3(0)
4. algebra

-2x+5y=-15 Find the x- and y-intercepts and graph the equation plotting the intercepts. Please show all of your work.
5. PreCalculus

I'm trying to find the x-intercepts of a polynomial function = 4x^4-3x^3-6x^2+2x+6. I don't want anyone to solve it, could someone please just tell me how to start factoring this so I can find the x-intercepts, I'm lost.
6. Algebra

Find the x and y intercepts and graph the equation plotting the intercepts.Show work...-5x+8y=-40
7. college algebra

Can someone please help me find the x-intercepts and y-intecepts of this equation. I have the radius, and center but I can't seem to get the intercepts. x^2+y^2=16x-18y+145=25 Please show work. Thanks!!
8. Math

If a graph of a quadratic function can have 0, 1 or 2 x-intercepts. How can you predict the number of x-intercepts without drawing the graph or (completely) solving the related equation?