Sketch the graph of the quadratic function. Indicate the coordinates of the vertex of the graph.

Question

y=−2x2+12x−11
Question content area bottom left
Part 1
Use the graphing tool to graph the function.

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enlarge
graph
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Part 1
-15
-12
-9
-6
-3
3
6
9
12
15
-15
-12
-9
-6
-3
3
6
9
12
15
x
y

Answer 1

To sketch the graph of the quadratic function y = -2x^2 + 12x - 11, we can start by finding the coordinates of the vertex.

The vertex of a quadratic function can be found using the formula x = -b/2a, where a and b are the coefficients of the quadratic term and linear term, respectively.

In this case, a = -2 and b = 12, so x = -12/(2*(-2)) = -12/(-4) = 3.

To find the corresponding y-coordinate, we substitute this value into the equation:

y = -2(3)^2 + 12(3) - 11
y = -18 + 36 - 11
y = 7.

Therefore, the vertex of the graph is (3, 7).

Using this information, we can sketch the graph.