How would you plot the graph of x²-2x-4 ?

include an explanation. in advance : )

Step-by-step explanation:

This equation is written in standard form, y = ax² + bx + c.

a = 1 , b = -2 , c = -4

First, the x² tells you that this is going to be a parabola. Since the a is positive, the parabola will be facing up (with the ends pointing up).

Next, you find the axis of symmetry, or vertex, which is where the middle of the parabola is. The formula for this is .

  Simplify

  Simplify

1

So, the middle of your parabola will be at x = 1.

Now, find the x-intercept. Since the x-intercept of a graph is where y = 0, just plug 0 into the equation for y.

y = x² - 2x - 4   Plug in 0

0 = x² - 2x - 4   Factoring won't work, so use the Quadratic Formula.

  Plug in   Simplify

  Simplify

The square root of 20 is about 4.47.

and   Simplify

x = 3.235 and -1.235

These are your x-intercepts, where your parabola crosses the x-axis.

Now, just put all of this information together on a graph!

75 tickets have been sold so far.

step-by-step explanation:

in this question it is clearly mentioned that 45 children's tickets have been sold and this number is 60% of the total tickets sold.

now let's assume the total number of tickets sold be x.

then 60% of x = 45

⇒

⇒ x(.6) = 45

by dividing with .6 on both the sides of the equation

⇒ x = 75

therefore 75 tickets have been sold so far.