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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

...