# Math

Let f(x)=-(x-1)^2+4

Solve f(x)=0 to find the x-intercepts

1. 👍 0
2. 👎 0
3. 👁 140
1. This function is symmetric about the line x = 1
Therefore the vertex is on that line.
It is a parabola opening up (holds water)
When x = 1, y = 4 so the vertex is at (1,4)
The curve never drops below y = 4 so never crosses the x axis

1. 👍 0
2. 👎 0
posted by Damon

## Similar Questions

1. ### Algebra

5. Find the x and y intercepts of each linear equation. Be sure to write your answers as ordered pairs. y = 3x - 6 6y = -x + 2 The y intercepts is when x=0 So put in x=0 in each, and solve for y. The x intercepts is when y=0, put

asked by Margie on October 26, 2006
2. ### 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.

asked by Manny on November 15, 2011
3. ### algebra 2

how do you solve 7x+x (x-4)=0 solution (s)/arex= find the x- intercepts of f(x)=7x+x(-4) what are the x intercepts

asked by kay on January 28, 2012
4. ### algebra

solve 4x^2=20 find the x-intercepts of f(x)=4x^2=20 What are the solutions and what are the x-intercepts

asked by sam on July 11, 2010
5. ### 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 +

asked by Kate on July 21, 2010
6. ### Math question?

How do you compute the x and y intercepts of a quadratic function? For the x intercepts, set y to zero,and solve for x. For the x intercepts, set y to zero and solve for x.

asked by leleirvin on August 17, 2005
7. ### math

Find the x-intercepts of the polynomial y = x^2 - 4x + 3 I'm not sure how to approach this -- do I first factor it and then my x intercepts are (#, 0)? So, for example, factored would be (x - 3)(x - 1) I set those equal to 0 so my

asked by Carly on April 30, 2019
8. ### pre-calculus

R(x)=x^2+x-6 ________ x-3 1. find the domain and y-intercepts 2. find the x-intercepts 3. find the real solution of the equation 4. find the horizontal or oblique asymptotes 5. find the x-axis 6. plot the points

9. ### algebra

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

asked by DD on April 24, 2010
10. ### 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?

asked by Murajabash on November 12, 2009
11. ### algebra

y=2x^2+5x-3 a)determine the x-intercepts b)determine the vertex c)determine the axis of symmetry d)determine the maximum or minimum value, stating whether it is a maximum or a minimum e)determine the range can i get the equations

asked by Shay on January 18, 2007

More Similar Questions