" " Given the Equation color(red)(y=f(x)=4x^2 A Quadratic Equation takes the form color(blue)(y=ax^2bxc Graph of a quadratic function forms a Parabola The coefficient of the color(red)(x^2 term (a) makes the parabola wider or narrow If the coefficient of the color(red)(x^2, term (a) is negative then the parabola opens down Let the focus and directrix of this particular parabola be Take a standard form of parabola equation ( x h) 2 = 4 p ( y k) In this equation, the focus is ( h, k p) Whereas the directrix is y = k p When at rest, the surface of mass of liquid is horizontal at PQ as shown in the figure A suitable rotation around the origin can thenOpens downward Move the y and 3 to the right, and then factor 2 out of the two x terms to get 2 ( x2 4 x) = – y 5 Complete the square in the parentheses, and add 8 to the right side Simplify and factor to get 2 ( x 2) 2 = –1 ( y – 5) Divide each side by 2 Solved Consider The Parabola Y 4x X2 A Find The Slope Chegg Com Y=x2-4x+2 par