The graph of the function represented by the equation y = -2x² + 8x - 12 is attached
How to graph the function represented by the equation
From the question, we have the following parameters that can be used in our computation:
y = -2x² + 8x - 12
The x-coordinate of the vertex of the above function is
x = -b/2a
So, we have
x = -8/(2 * -2)
x = 2
The y-coordinate is
y = -2(2)² + 8(2) - 12
y = -4
So, the vertex is (2. 6)
The axis of symmetry is the x-coordinate of the vertex
So, we have
x = 2
The y-intercept is when x = 0
So, we have
y = -2(0)² + 8(0) - 12
Evaluate
y = -12
Because the leading coefficient is negative, the function has a maximum vertex
Lastly,
The domain is the set of all real values, and the range is (-∞, -12]
The graph is attached