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Graph a parabola with axis of symmetry x = 0, an x-intercept at x = 7, and y-intercept at y=3.
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Since x= 0 is the axis of symmetry, with x-interception x= 7, the parabola has
second x-interception at symmetric point x= -7.
So, the parabola has the form
y = a*(x-7)*(x+7 = a*(x^2-49),
where "a" is an unknown real coefficient.
Find it from the condition y = 3 at x = 0
a*(0^2-49) = 3,
-49a = 3,
a = .
Thus the equation for the parabola is y = .
To get the graph, go to website
www.desmos.com/calculator
find there free of charge online plotting tool for common use,
print there the found equation of the parabola and obtain
the desired plot in the next instance.
Solved.