the vertex of a quadratic function is (6,2) and the y-intercept of the function is (0,-70). the equation of the function in vert
2 answers:
Answer:
The value of a is -2
Step-by-step explanation:
In the equation of the quadratic function:
The point (h,k) is the vertex and all the points with the form (x,f(x)) belong to the quadratic functions.
Then, in this case, the point (6,2) is the vertex (h,k) and the y-intercept of the function (0,-70) is a point that follow the form (x,f(x)).
So, if we replace, h by 6, k by 2, x by 0 and f(x) by -70 and we solve for a, we get:
Therefore the value of a on the equation is -2.
You might be interested in
Answer:
Step-by-step explanation:
We first have to write the equation for the sequence, then finding the first five terms will be easy. Follow the formatting:
and we are given enough info to fill in:
and
and
or in linear format:
where n is the position of the number in the sequence. We already know the first term is -35.
The second term:
so
and
The third term:
and
so
and we could go on like this forever, but the nice thing about this is when we know the difference all we have to do is add it to each number to get to the next number.
That means that the fourth term will be -27 + 4 which is -23.
The fifth term then will be -23 + 4 which is -19. You can check yourself by filling in a 5 for n in the equation and solving:
and
so