(X +2)^2 - 5 = 0
X = - 4, Y = - 1
--------------------------- for intercepts
Just read it.
y = x2 +4x -1 (the standard form)
Since the vertex is (-2, -5), x = -2 is the equation of the axis of symmetry, also b= 4a (-b/2a = -2).
Since the parabola passes through (-4, -1) it also will passes through (0, -1), it means that c (y-intercept) equals to -1.
So we have,
y = ax2 + 4ax - 1 (replace x with -2, and y with -5)
-5 = 4a - 8a - 1
-4 = -4a
1 = a so that b = 4
It is a parabola, which passes through the origin and is symmetric about the y axis.
UndefinedImproved Answer:-The straight line equation is: y = 2x
y=x
the equation of a parabola is: y = a(x-h)^2 + k *h and k are the x and y intercepts of the vertex respectively * x and y are the coordinates of a known point the curve passes though * solve for a, then plug that a value back into the equation of the parabola with out the coordinates of the known point so the equation of the curve with the vertex at (0,3) passing through the point (9,0) would be.. 0 = a (9-0)^2 + 3 = 0 = a (81) + 3 = -3/81 = a so the equation for the curve would be y = -(3/81)x^2 + 3
Yes, it is a linear equation with no slope. The graph is a straight line (parallel to the x-axis) that passes through the y-axis, at {0,-3}
please help
It is a parabola, which passes through the origin and is symmetric about the y axis.
UndefinedImproved Answer:-The straight line equation is: y = 2x
y=13x
y=x
the equation of a parabola is: y = a(x-h)^2 + k *h and k are the x and y intercepts of the vertex respectively * x and y are the coordinates of a known point the curve passes though * solve for a, then plug that a value back into the equation of the parabola with out the coordinates of the known point so the equation of the curve with the vertex at (0,3) passing through the point (9,0) would be.. 0 = a (9-0)^2 + 3 = 0 = a (81) + 3 = -3/81 = a so the equation for the curve would be y = -(3/81)x^2 + 3
It passes through Quadrants II and IV. It also passes through the origin ... the point where the 'x' and 'y' axes cross. At that point, it's in all four quadrants.
y -4 = 3(x-3)y = 3x -5
Yes, it is a linear equation with no slope. The graph is a straight line (parallel to the x-axis) that passes through the y-axis, at {0,-3}
2
The equation is x = -7.
If a vertical line passes through the supposed function at only one spot then you have a function.