<span>reflection over the x-axis and a translation 4 units down
Refelcting f(x) over the x axis gives
-f(x)=-3x-1
Subtracting a constant from -f(x) moves the graph of -f(x) that many units down.
-f(x)-4=-3x-5=g(x)
This shows that g(x) is obtained by reflecting f(x) over the x-axis and then translating 4 units down.</span>
Answer:
Sarah is 4 ft tall.
Step-by-step explanation:
231÷84= 2.75
11 ft ÷ 2.75 = <u>4 ft</u>
Answer:
The graph in the attached figure
Step-by-step explanation:
we have

Remember that the denominator cannot be equal to zero
so
The value of x cannot be equal to x=-2
<em>Simplify the numerator</em>
----> by difference of squares
substitute

simplify

The domain is all real numbers except the value of x=-2
The y-intercept is the point (0,-6) ---> value of y when the value of x is equal to zero)
The x-intercept is the point (2,0) ---> value of x when the value of y is equal to zero)
therefore
The graph in the attached figure
Answer:
$0.65
Step-by-step explanation:
3.75-.5=3.25
3.25/5=.65
F(3)=-18
You just replace x for three for your equation and then use Ofer of operations to solve it.
So f(3)= 21+ 2(3)-5(3)^2
The exponent goes first: f(3)= 21+ 2(3)-5(9)
Next is multiplication: f(3)= 21+ 6-45
Now add: f(3)= 27-45
Finally subtract: f(3)= -18
Hope this helps!