Pleaseeee helpppp :(((((
2 answers:
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Fist, in the equation y=mx+b, b is the y-intercept. The y-intercept is the poin on the line that crosses the x-axis; the y-intercept is the value of yThese equations follow that format.
Y=mx+b
y
3x-4. <-----In this equation, the slope(m)=3 b= -4.
On the graph, we can see that the line crosses the x-axis at y=-4. Knowing that, we can eliminate the answer choices with +4 in the inequality.
The next step, is to pick an (x,y) coordinate that is in the shaded region and plug it into the remaining 2 inequalities. Which ever inequality is true after you solve it, that is the correct answer.
For example, I'll choose to plug in (-4,4) into the y 3x-4.
y 3x-4.
(4) (3(-4))-4.
(4) (-12)-4.
(4) -16
So, this statement is true becasue -16 is less than positive 4. Therefore, the correct answer would be y 3x-4. Hope that helped! Comment back with any further questions!
Y=mx+b
y
On the graph, we can see that the line crosses the x-axis at y=-4. Knowing that, we can eliminate the answer choices with +4 in the inequality.
The next step, is to pick an (x,y) coordinate that is in the shaded region and plug it into the remaining 2 inequalities. Which ever inequality is true after you solve it, that is the correct answer.
For example, I'll choose to plug in (-4,4) into the y
y
(4)
(4)
(4)
So, this statement is true becasue -16 is less than positive 4. Therefore, the correct answer would be y
Answer:
b) There is translation 3 units to the right and 1 unit up
c) The domain is {x I x > 3}
The equation of the asymptote is x = 3
Step-by-step explanation:
* Lets revise the rule of the translation
- If the function f(x) translated horizontally to the right
by h units, then the new function g(x) = f(x - h)
- If the function f(x) translated horizontally to the left
by h units, then the new function g(x) = f(x + h)
- If the function f(x) translated vertically up
by k units, then the new function g(x) = f(x) + k
- If the function f(x) translated vertically down
by k units, then the new function g(x) = f(x) – k
* Now lets solve the problem
b) ∵ f(x) =
∵ The parent function is
∴ x is changed to (x - 3), that means there is a translation 3 units
to the right
∵ We add the parent function by 1, that means there is a translation
1 unit up
* There is translation 3 units to the right and 1 unit up
c) To find the domain of the function, find the values of x which
make the function undefined
∵ is undefined
∴ x - 3 can not be 0
∵ x - 3 = 0 ⇒ add 3 to both sides
∴ x = 3
∴ The domain of the function is all real number greater than 3
* The domain is {x I x > 3}
∵ x can not be 3
∴ There is a vertical asymptote, its equation is x = 3
* The equation of the asymptote is x = 3
# Look to the attached graph for more understand for the domain
and the equation of the asymptote
