SOLUTION: Y=p-(x+q)^ crosses the y-axis at the point (0,1) and x axis at (4,0) find the value of p and q [PS: ^=2]
Algebra.Com
Question 96842: Y=p-(x+q)^ crosses the y-axis at the point (0,1) and x axis at (4,0) find the value of p and q [PS: ^=2]
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Y=p-(x+q)^ crosses the y-axis at the point (0,1) and x axis at (4,0) find the value of p and q [PS: ^=2]
-----------
Y=p-(x+q)^2
Substitute (0,1) to get:
1 = p-q^2
Substitute (4,0) to get:
0=p-(4+q)^2
--------------
Rearrange equations:
p = 1+q^2
p = (4+q)^2
----------------
EQUATION:
1+q^2 = (4+q)^2
1+q^2 = 16+8q+q^2
8q=-15
q = -15/8
-------------
Substitute that into p = 1+q^2 to solve for "P":
p = 1 + (-15/8)^2
p = (64 + 225)/64
p = 289/64
---------------
Cheers,
Stan H.
RELATED QUESTIONS
In a figure, curve A whose equation is y=(x+a)^2, passes through the point (4,0).
Curve... (answered by Boreal)
The circle x^2+y^2-4x-6y=0 cuts the x-axis at A and y-axis at B. A line y=5 cuts the... (answered by Edwin McCravy)
Find the equation of the parabola with horizontal axis which crosses the x - axis at x... (answered by josgarithmetic)
Hello tutor,
This one question on my online homework assignment has been puzzling me for (answered by lwsshak3)
The parabola y=x^2-3 intersects the x-axis at two points, P and Q. What is the distance... (answered by ewatrrr)
The parabola y=x2-4 intersects the x axis at two points, P and Q. What is the distance... (answered by josmiceli,bucky)
Find the x-intercepts of the polynomial function. State whether the graph crosses the... (answered by Fombitz)
The tangent to the curve y = ax^3 + bx at the point (1,3) crosses the y-axis at... (answered by Boreal)
The lines x-y-2=0 and 2x-5y-7=0 intersect at point P. Find co-ordinates of point P. The... (answered by anand429)