Answer:
Step-by-step explanation:
This is a positive parabola so it opens upwards. The equation for the directrix of this parabola is y = k - p. k is the second number in the vertex of the parabola which is (0, 0), but we need to solve for p.
The form that the parabola is currently in is
so that means that 
. We can use that to solve for p in the formula
so
which simplifies to
which gives us that
p = 2. Now to find the directrix:
y = k - p becomes
y = 0 - 2 so
y = -2, choice A.
Answer:
3 1/3 pizzas
Step-by-step explanation:
Since each boy ate 2/3 of a pizza and there were 5 boys total, you would multiple the two fractions.
The two fractions in this case would be 2/3 and 5/1.
The product is 10/3.
The mixed number would come out to 3 1/3.
Answer: False!
This equation is in slope - intercept form, where y = mx + b. B is the y - intercept and m is the slope. They got the location of the y - intercept right, but they forgot to add the negative. It's actually -8.
Hope this helps!
The parent function is given by 
and the transformation function is given by 
We can see that, 6 has been added to the function f(x) to get the function g(x).
We know that when we add some constant 'c' in the function then the function gets shifted upward by 'c' units.
Therefore, we will get g(x), when we will shift f(x) upward by 6 units.
Both functions are linear function hence, the asymptote of g(x) is the asymptote of f(x) shifted six units up.
D is the correct option.
To reflect a triangle, just draw the opposite of what it originally looked like, aka mirror image.
