draw a perpendicular line from the directrix passing through the focus, this will be the line of symmetry.
The vertex(h, k) will be located on the line half way between the focus and directrix.
The distance from the focus to the vertex is called the focal length, call it a. The then equation is
(x - h)^2 = 4a(y - k)
the equation can be manipulated to
y = 1/4a(x - h)^2 + k
hope it helps
Answer:
(b) (x, y) ⇒ (-x, y); (x, y) ⇒ (x + 1, y + 1)
Step-by-step explanation:
A graph shows the image is consistent with reflection over the y-axis
(x, y) ⇒ (-x, y)
and translation right 1, up 1
(x, y) ⇒ (x +1, y +1)
These transformations are listed in the second choice.
__
In the attachment, the original image is blue, the reflected image is purple, and the final translated image is red.
The answer is 140.
For every 4 toys the price increases by 20. If you divide, we find that every toy is worth 5. For example, if the amount of toys increases by 10, then the cost increases by 50. Since 20 is the closest given example being only 10 toys away, you can just add 50 onto the cost of the toys to get 140.
Answer:
- The measure of reference angle is
. 
Step-by-step explanation:
Converting
to degrees,

This means
lies in Quadrant 4, and thus its reference angle is 
Since
lies in the fourth quadrant,
and
are negative.
Since
lies in the fourth quadrant,
is positive, and is equal to 
Do you remember how many degrees there are in a <u><em>full</em></u> circle ?
Did you say ' 360 ' ? Good work.
Can you find 1/3 of 360 ?
Did you get ' 120 ' for your answer ?