Question

Which statement describes the graph of f(x) = 4x2 + 20x + 25?

Answer 1

Given :

A function f(x) = 4x² + 20x + 25

To Find :

Graph of f(x)

Solution :

•Given function f(x) = 4x² + 20x + 25 is a polynomial function with degree 2 , So it's graph will be a parabola

• f(x) = 4x² + 20x + 25

y = 4x² + 20x + 25

y = 4 ( x² + 5x + 25/4 )

y/4 = x² + 5x + 25/4

y/4 = ( x + 5/2 )²

• It is of the form x² = 4ay which is the equation of upward parabola with its axis as Y axis

• Given parabola has its vertex at

(0,0) & focus at ( 0 , 1/16)

• Hence graph of f(x) is upward parabola with vertex at

(0,0) & focus at ( 0 , 1/16)

Answer 2

Answer:

Step-by-step explanatio

Thx