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Answer:
Therefore, on the graph;
The height = 7.5 units
And base = 5.0 units
Attached is an image for further information;
Step-by-step explanation:
Given that;
1 unit on the grid represent 2m of the garden;
Ratio = 1/2 unit/m
For the height;
height h = 15m
On the graph;
h = 15m × 1/2 unit/m
h = 7.5 units
For the base;
Base b = 10m
On the graph;
b = 10m × 1/2 unit/m
b = 5 units
Therefore, on the graph;
The height = 7.5 units
And base = 5.0 units
Answer:
Step-by-step explanation:
If you plot this point and the directrix on a coordinate plane, you can see that the directrix is 1/4 of a unit below the vertex. Since, by nature, a parabola opens in the direction opposite the directrix and "hugs" the focus, this is a positive x-squared parabola (meaning it opens upwards). The formula for this type of a parabola is, in vertex form,
where p is distance (in units) between the vertex and the directrix and h and k are the coordinates of the vertex. For us, p = .25, h = 7, and k = -6. Filling in our formula:
Simplify the left side to
which simplifies, in its entirety, to