Answer:
The graph of the function is a parabolic function graph
Explanation:
Formula for a parabolic function: ( x - h )² = 4p ( y - k )
where ( h , k ) is the vertex and ( h , k + p ) is the focus
y is the directrix and y = k – p
The equation of the parabola is also given by the equation
y = ax² + bx + c
where a , b , and c are the three coefficients and the parabola is uniquely identified
Given data ,
Let the graph be represented as A
Now , a parabola is a U-shaped curve that is drawn for a quadratic function, f(x) = ax² + bx + c.
The value of the graph increases and decreases in a format according to the quadratic equation.
So , the graph of the function goes downward when value of a < 0 and the graph of the function goes upward when the value of a > 0
The graph of the parabola is downward (or opens down), when the value of a is less than 0, a < 0. The graph of parabola is upward (or opens up) when the value of a is more than 0, a > 0
Therefore , the graph is a parabolic graph
Hence , The graph of the function is a parabolic function graph