Where p is the distance the focus is above the vertex, the equation of a parabola with vertex (h, k) can be written as
... y = 1/(4p)·(x -h)² +k
The vertex is halfway between the focus and directrix. The focus of your parabola is on the y-axis at y=6, and the directrix of your parabola is at y=-6, so the vertex of your parabola is on the y-axis at y=0. That is, the vertex is
... (h, k) = (0, 0).
The distance p from the focus at y=6 to the vertex at y=0 is 6 units, so
... p = 6.
Filling these values into the equation gives
... y = 1/(4·6)·(x -0)² +0
... y = (1/24)x²
A similarity transformation is one or more rigid transformations (reflection, rotation, translation) followed by a dilation. When a figure is transformed by a similarity transformation, an image is created that is similar to the original figure.
Answer:
2 and 3/8
Step-by-step explanation:
4/6 = 6/8 so 5/8 + 6/8 = 2 and 3/8
Answer:
thursday
Step-by-step explanation:
Answer:
See image
Step-by-step explanation:
Rate of change means how much does the number of snowflakes go up each time (on a different question you might find the number goes down each time)
"Initial value" means whatthe number if snowflakes at step zero. We have to work backwards to find that number. For the equation, fill in the rate in front of the x (we use m for that number) and add in the initial value (b) in the format y=mx+b . The information for the table is in the picture (the step numbers and number of snowflakes)
See image
