Share
the vertex of this parabola is at (2,-4). when the y-value us -3, the x-value is -3. what is the coefficient of the squared term in the para
Question
the vertex of this parabola is at (2,-4). when the y-value us -3, the x-value is -3. what is the coefficient of the squared term in the parabolas equation?
in progress
0
Mathematics
3 years
2021-07-18T22:47:19+00:00
2021-07-18T22:47:19+00:00 2 Answers
29 views
0
Answers ( )
Answer:
-5
Step-by-step explanation:
from a p e x
Answer:
The coefficient of the squared term is 1/25.
Step-by-step explanation:
We are given that the vertex of a parabola is at (2, -4). We also know that y = -3 when x = -3.
And we want to determine the coefficient of the squared term of the equation.
Since we are given the vertex, we can use the vertex form of the quadratic:
Where (h, k) is the vertex and a is the leading coefficient. The leading coefficient is also the coefficient of the squared term, so we simply need to find the value of a.
Since the vertex is at (2, -4), h = 2 and k = -4. Substitute:
y = -3 when x = -3. Solve for a:
Simplify:
Therefore, our function in vertex form is:
Hence, the coefficient of the squared term is 1/25.