You have to find the inverse of the function, then plug in -25 to that.
So:
First replace y with x and x with y
x=4(y+8)^2 - 9
Solve for y
x + 9 = 4(y+8)^2
(x + 9)/4 = (y+8)^2
Here square root both sides
sqrt((x + 9)/4) = y + 8
Subtract 8 from both sides
y = sqrt((x + 9)/4) - 8
Now plug in -25 in this equation
y = sqrt((-25 + 9)/4) - 8
solve
y = sqrt((-16 / 4)) - 8
Here, there is a negative number under the square root sign. So, -25 cannot be in the domain and the answer is D.
Answer:
A. (3,1)
B. g(x)=|x-3|+6
C. h(x)=-|x-3|-6
Step-by-step explanation:
A. To graph the absolute value function f(x) = |x - 3| + 1, first graph the parent absolute value function y=|x| and then translate it 3 units to the right and 1 unit up (see green graph in attached diagram). The vertex of the function f(x) is at point (3,1).
B. The function g(x) translates f(x) 5 units up, so its equation is
g(x)=f(x)+5
g(x)=|x-3|+1+5
g(x)=|x-3|+6
Blue graph in attached diagram.
C. The function h(x) reflects g(x) over the x-axis, so the equation of the function h(x) is
h(x)=-g(x)
h(x)=-(|x-3|+6)
h(x)=-|x-3|-6
Red graph in attached diagram.
X is less than or equal to 2000
this sign “<“ with the line up under it
Answer:
$3.70 honestly just divide lol