Question

Complete the table of values for y=x^2-2

Answer 1

Step-by-step explanation:

a)

For each value of x, we need to solve for y.

Our equation is x² -2. This means that we multiply x by itself ( x * x = x²), and then subtract that value by 2.

Here is a list of the unfilled answers:

x = -2:

-2²-2 = -2 * -2 -2 = 4-2 = 2. -2 * -2 = 4 because two negatives multiplied together makes a positive.

x=-1:

-1²-2 = 1 -2 = -1

x=1

1²-2 = 1-2= -1

x=3:

3²-2  = 9-2 = 7

b)

In this graph, the y represents the vertical part and x represents the horizontal. For each value of y, there is a horizontal line that can be drawn. For example, when y=0, the bolded horizontal line near the bottom of the graph represents that. We then need to find the points on the line representing x²-2 where it touches the horizontal line of y=0. This happens when x=-1.5 and x=1.5, as it is between the positive/negative 1 and 2 values of x