The length of the longer leg of a right triangle is 19ft more than five times the length of the shorter leg. the length of the h
1 answer:
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Start by looking at the vertex form of a quadratic function, f(x) = a(x - h)^2 + k. The variables h and k are the values of the vertex. Plug those in to get f(x) = a(x - 4)^2 + 5. To find the variable a, plug in the point given for the x and y values. So, you get (21) = a((8) - 4)^2 + 5. Solve for a algebraically, and you get a = 1. Finally, plug everything in and simplify the equation. You should get that the quadratic function is f(x) = x^2 - 8x + 21. Hope this helps!
Answer:
The second alternative is correct
Step-by-step explanation:
We have been given the expression;
The above expression can be re-written as;
On the other hand;
Therefore, we have;
Answer:
Step-by-step explanation:
Equation of the Quadratic Function
The vertex form of the quadratic function has the following equation:
Where (h, k) is the vertex of the parabola that results when plotting the function, and a is a coefficient different from zero.
It's been given the vertex of the parabola as (-2,18):
Now substitute the point (-5,0) and find the value of a:
Operating:
Solving for a:
a = -2
Thus, the equation of the quadratic function is: