Question

whichquadratic rule represents the data in the table. x| -1, 0, 1, 2, 3 y| -4, -5, -4,-1, 4

a y=x^2-5

b y= -x^2+5

c y=2x^2+5

d y=x^2+5

Answer 1

Easier to look at x = 0
f(0) = -5
the only one that has that is a)

Answer 2

thanks tammy

Answer 3

We can use trial and error method to see which quadratic equation fits the data in the table.

If we substitute x=-1 in each of the given options, we get:

a) y=(-1)^2-5 = -4
b) y=-(1)^2+5 = 4
c) y=2(-1)^2+5 = 7
d) y=(-1)^2+5 = 6

Option a) and d) gives the correct value of y=-4 when x=-1.

Similarly, we can substitute the other values of x in each of the options and find that option a) y=x^2-5 fits all the given data in the table.

Therefore, the quadratic rule that represents the data in the table is a) y=x^2-5.