Answer:
-3
Step-by-step explanation:
We are given that a graph.
We have to find the value of the function at x=2.
To find the value of function at x=2 we will find the value of y corresponding to x=2 by drawing a vertical line x=2
The given graph is the graph of a line.
We can see that when we draw a vertical line x=2 and parallel to y- axis.
Then, the vertical line x=2 cut the given line at pint (2,-3).
Therefore, the intersection point of line x=2 and the given line is (2,-3).
The value of y corresponding to x=2 is -3.
We know that
Therefore, the value of the given function at x=2 is -3.
Hence, the value of the function at x=2 is -3.
Answer:
The answer to your question is:
Step-by-step explanation:
Data
f(x) = -2x² + 8x - 2
Process
-2x² + 8x = y + 2
-2(x² - 4x + 4) = y + 2 - 8
-2(x - 2)² = y - 6
(x - 2)² = 1/2 (y - 6)
Vertex = (2, 6)
Axis of symmetry = x = 2
y-intercept
f(0) = -2(0)² + 8(0) - 2
f(0) = 0 + 0 - 2
f(0) = -2
Domain (-∞, ∞)
Range (-∞, 6]
See the graph below
