Question

Which of the following describes the transformation of the graph y=x^2 in graphing y=-x2-5?

a. reflect over the x axis and shift down 5
b. reflect over the y axis and shift down 5
c. reflect over the x axis and shift left 5

Answer 1

Option a

Explanation:

Answer 2

Option a. is the correct option.

Explanation:

In the question given graph is y = x² which is transformed into y = -x²-5

then we can interpret the graph as below

1). y = -x²-5 is a function of a parabola.

2). Since the graph is in the form of y = ax²+b

Now if we reverse/reflect the graph on x axis then a becomes -a.

Therefore y = -x² - 5 gets reflected over the x-axis.

3) Since b represents the y-intercept, if it's negative then graph is shifted down and for positive b graph is shifted upwards. Here -5 shows the shift of 5 downwards.

Therefore option a is the correct option.