SOLUTION: given: f(x)=x^2-6x+5 1) write f(x) in standard form 2) find the vertex and x-intercepts of f(x) 3) solve f(x)

Question 35188: given: f(x)=x^2-6x+5
1) write f(x) in standard form
2) find the vertex and x-intercepts of f(x)
3) solve f(x)

Answer by Nate(3500) (Show Source): You can put this solution on YOUR website!
f(x)=x^2-6x+5
y = x^2 - 6x + 5
y - 5 = x^2 - 6x
y - 5 + 9 = (x-3)^2
y + 4 = (x-3)^2
f(x) = (x-3)^2 - 4
In standard form y=a(x-h)^+k .... the vertex is (h,k), so it is (3,-4)
For the x-intercepts, y has to equal zero .... so the two answers for x is 5 and 1.
The answers are in a parabola line (U-shaped) starting from (3,-4) and moving upwards on the cartesian coordinate plane.
RELATED QUESTIONS
Find the vertex, x- intercepts, and y- intercept of... (answered by Menjax)

Write the given expression F(x)=1/3x^2+x+1 in the form F(x)=a(x-h)^2+k.. and find the... (answered by Fombitz)

Given the function f(x)=-3x^2+9x-5 f(x) by and g(x)=f(x-2)+5 a)Find the vertex of g(x)... (answered by josgarithmetic)

Find the x-intercepts and y intercepts for f(x) f(x)... (answered by oscargut)

Given that f(x) = 6x � 3, find the following: (f^-1)(x) = f(2) = (f^-1)(-5) = Thank (answered by josgarithmetic,greenestamps)

Given that f(x) = 6x � 3, find the following: (f^-1)(x) = f(2) = (f^-1)(-5) =... (answered by josgarithmetic,greenestamps)

Express f(x) = (5-x)(x+1) in standard form. f(x) = Find the vertex and axis of... (answered by stanbon,Boreal)

I need help! 1. write the equation of a line whose slope is -2 and passes through... (answered by stanbon,mangopeeler07)

Find the vertex and intercepts of the following function: f(x)= (x-3)^2 + 2 (answered by jim_thompson5910)