For this case we have that by definition:
We then have the following expression:
According to the definition, we can conclude that the first term is given by:
Answer:
The first term of the expression is:
Given:
A quadratic function has a line of symmetry at x = –3.5 and a zero at –9.
To find:
The other zero.
Solution:
We know that, the line of symmetry divides the graph of quadratic function in two congruent parts. So, both zeroes are equidistant from the line of symmetry.
It means, line of symmetry passes through the mid point of both zeroes.
Let the other zero be x.
Multiply both sides by 2.
Add 9 on both sides.
Therefore, the other zero of the quadratic function is 2.
Answer:
Step-by-step explanation:
1st boat:
Parabola equation:
The x-coordinate of the vertex:
Equation:
The y-coordinate of the vertex:
Parabola passes through the point (-8,1), so
Solve:
Parabola equation:
2nd boat:
Parabola equation:
The x-coordinate of the vertex:
Equation:
The y-coordinate of the vertex:
Parabola passes through the point (-8,1), so
Solve:
Parabola equation:
System of two equations:
