Question

For each function below, choose the correct description of its graph.verticallinehorizontallineline with anegativeslopeline with apositiveslopeparabola parabolaopening openingdown up(a) f(x) = 4x-2(b) k(x) =-5oloOO(c) h(x) = 2x²+xOо

Answer 1

a) It is a line with a positive slope

b) It is a horizontal line

c) Parabola opening up

Here, we want to choose the correct description for the functions given

a) f(x) = 4x-2

This is a straight line plot; meaning it is a linear equation

It is a line with a positive slope

The general equation form is y = mx + b

where m is the slope and it is positive in this case

b) k (x) = -5

By drawing this line, we have it as a straight horizontal line since all the y values are the same and constant

So, the correct choice here is that;

it is a horizontal line

c) h(x) = 2x^2 + x

Plotting this, we will have a parabola that is facing up. what this mean is that the parabola will open up. This is because the leading coefficeint is positive

So, the correct choice here is that;

parabola opening up