- #1
skae
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Homework Statement
The line y = 4x-7 is a tangent to a parabola that has a y-intercept of -3 and the line x=1/2 as its axis of symmetry. Find the equation of the parabola.
This is supposed to be done with regards to the discriminant.
Homework Equations
The Attempt at a Solution
y=4x-7
y-intercept = -7
x-intercept = 7/4
after drawing the graph, the parabola has to be concave up.
integrating... (i have no idea what else to do)
y=2x^2-7x+c
discriminant = 49-4*2c
= 49-8c
=0
8c=49
c=49/8
...