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

Option a. is the correct option.

Step-by-step 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.

the answer is the option b

the range is all real numbers

step-by-step explanation:

we know that

the absolute value parent function is equal to

see the attached figure to better understand the problem

so

a. it is v-shaped > is true

b. the range is all real numbers > is not true

because the range is the > [0,∞)

all real numbers greater than or equal to zero

c. it goes through the origin > is true

d. the domain is all real numbers > is true

step-by-step explanation:

the answer is c just got it on ed

step-by-step explanation: