Hich is the graph of f(x) = (x - 1)(x + 4)?

ANSWER

Option D

EXPLANATION

The given function is

The graph of this function, will touch the x-axis at x=1 and x=-4.

This graph is a minimum graph.

This parabola will open up.

The correct choice is D.

4th Graph is correct option.

Step-by-step explanation:

Given Function is ,

f(x) = ( x - 1 )( x + 4 )

f(x) = x² + 3x - 4

Since, we are given a quadratic function.

So, Graph is a parabola.

Now we find the vertex of the parabola by expressing given function in standard form of parabola.

Consider,

y = x² + 3x - 4

x² + 3x = y + 4

By comparing this equation with ( x - h )² = 4a( y - k )

where, ( h , k ) is vertex of the parabola.

⇒ Vertex of the given function =

These coordinates of the vertex lie in 3rd Quadrant.

Now looking at all given graphs. Only 4th Graph has vertex in 3rd quadrant.

Therefore, 4th Graph is correct option.

the answer is simply just 6n add the two together as they have an n

good luck on your studies! : )

david edward.