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.

ab: 2 n83b8eb7ebi. 8e yen in

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180