Given:
The figure of two quadrilaterals.
In
In
To find:
Whether the figures are congruent, similar or neither.
Solution:
Ratio of corresponding sides are:
Similarly,
And,
Clearly, .
All corresponding sides are not proportional.
Therefore, the figures are neither similar nor congruent. Hence, third option is correct.
So firstly, foil (x-8)(x-2):
Next, remember that the vertex lies on the axis of symmetry, and the equation to find the axis of symmetry is (a = x^2 coefficient, b = x coefficient). Solve for the axis of symmetry as such:
So now that we know that the axis of symmetry is x = 5, we also know that's the vertex's x-coordinate (since the vertex falls on the axis of symmetry). Now plug in 5 for x in the original equation to solve for f(5):
So putting it together, the vertex of this equation is (5,-9).