the quadratical functions 's form is :
y=ax2 +bx+c
first you have to find (-b/2a) and get its value .
Draw the graph and try random 2 other values for x (I prefer you try one greater than -b/2a and other less one )
then connect between the points with a curvy line :)
y = 2x2 + 5
First, the parabola opens upward (a > 0), the axis of symmetry is the y-axis (b = 0), the y-intercept is 5 (c = 5), vertex is (0, 5) since it lies on the axis of symmetry, and there are not x-intercepts (ac > b2) .
So that you need to find just one point which will give you its symmetric point.
Let x = 1, y = 7; (1, 7) its symmetric point is (-1, -7).
Plot (0, 5), (-1, -7), (1, 7), then draw a smooth curve that passes through these points.
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The figures are exactly the same, but every point on the first graph is exactly 13 below the corresponding point on the second one.
The equation y = 4x^2 + 5 is a parabola
y=-5x+8 the slope is -5.
A straight line, passing through the point (0,5) with a gradient of -3.
It equals 24.