Answer:
The new points to the triangle will be:
Step-by-step explanation:
Because the reflection point is at 
, all x values will subtract their distances from to get their new values. The y values remain the same.
The starting values are:
Point 
is 5 units away from , so we'll subtract 5 from -1 to get the new x value: 
, so 
.
Point 
is also 5 unit away from , so we'll subtract 5 from -1 to get the new x value: , so 
.
Point 
is 7 units away from , so we'll subtract 7 from -1 to get the new x value: 
, so 
.
Step-by-step explanation:
A better way to word this is how much more is 4/9 than 2/9 which is 2/9 more because 2/9 plus 2/9 is 4/9 and the denominator stays the same
Answer:
Step-by-step explanation:
For each equation choose a value for x and then solve to find the corresponding y value that makes that equation true.
Answer:
24 Domain: s>=2 or s<=-2
25. 3x^2 +14x +10
26. x^2 -2x+5
Step-by-step explanation:
24. Domain is the input or s values
square roots must be greater than or equal to zero
s^2-4 >=0
Add 4 to each side
s^2 >=4
Take the square root
s>=2 or s<=-2
25. f(g(x)) stick g(x) into f(u) every place you see a u
f(u) = 3u^2 +2u-6
g(x) = x+2
f(g(x) = 3(x+2)^2 +2(x+2) -6
Foil the squared term
= 3(x^2 +4x+4) +2x+4-6
Distribute
= 3x^2 +12x+12 +2x+4-6
Combine like terms
=3x^2 +14x +10
26 f(g(x)) stick g(x) into f(u) every place you see a u
f(u) = u^2+4
g(x) = x-1
f(g(x) = (x-1)^2 +4
Foil the squared term
= (x^2 -2x+1) +4
= x^2 -2x+5
