A parabola opening up or down has vertex (0,-7) and passes through (4,-3). Write its equation in vertex form
1 answer:
Answer:
y = x² - 7
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (0, - 7), thus
y = a(x - 0)² - 7
To find a substitute (4, - 3) into the equation
- 3 = a(4 - 0)² - 7, that is
- 3 = 16a - 7 ( add 7 to both sides )
4 = 16a ( divide both sides by 16 )
a = , thus
y = x² - 7
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Answer:
See explanation
Step-by-step explanation:
The question is incomplete, however, one of the requirements of this question while I searched, was to make a table and sketch the equation.
If this is the case, then, all you need to do is take the equation, Assume some values for x, and compute the values of y. Then, you can do the graph.
I begin with value from 0 to 10.
This is the example of calculations:
x = 0
y = 18.25*0 = 0
for x = 0, we get y = 0. For x = 2:
y = 18.25 * 2 = 36.5
If we keep doing this, we should get a straight line. See the graph and attached table. If the question is asking another thing, then please get back to me to answer it.
