Question

What is the equation of a parabola with vertex (3, 4) and focus (7, 4)

Answer 1

Step-by-step explanation:

The required p.b equation is:

$( {y - k) }^{2} = 4a(x - h)$

v(3,4)

(y-4)² =4a (x-3)

To find a,

h+a=4

3+a=4

a=4-3

a=1

(y-4)²=4(1) (x-3)

y²-16-8y=4x-12

y²-8y-4x+16+12=0

y² - 8y - 4x + 28 = 0