The function is
we use the vertex form of the quadratic equation
We have given a graph,
<h3>What is the vertex form of the quadratic equation?</h3>
y = a(x - h)^2 + k.
Therefore the vertex of the given graph is
See the vertex at (-2, 5)
Since the general way to write the vertex is (h, k), we compare (h, k) to (-2, 5).
Now we have given that (-4,1) use this value in the above equation so we get,
Using the value of an in equation (1) we get,
Therefore the function is
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Answer:
A, B, C, and E
Step-by-step explanation:
y = 4x - 20
8x - 2y = - 20 (divide everything by 2)
4x - y = -10
-y = -4x - 10
y = 4x - 10
4x - 10 = 4x - 20
0 -10
No solution
Answer:
N is perpendicular to M
Step-by-step explanation:
Because N and P are parallel, p is perpendicular to M, N is also perpendicular to M
The difference between constructing and drawing geometric figures is that when constructing a geometric figure, you use compass, protractor, ruler, or any scale with accurate measurement while when drawing geometric figures, you just draw with free-hand. It is not exact in measures.
<h3>
Answer: x = 4</h3>
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Explanation:
Use the remote interior angle theorem. This says a pair of interior angles always add to the measure of the exterior angle that is not adjacent to any of the interior angles, so basically what your diagram is showing.
(interior angle C) + (interior angle D) = exterior angle
(46) + (-1+8x) = 18x+5
8x+45 = 18x+5
8x-18x = 5-45
-10x = -40
x = -40/(-10)
x = 4