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The graph of the quadratic function y = 1.5x² + 4x - 2 is given by the image shown at the end of the answer.
<h3>How to obtain the graph of a quadratic function?</h3>To obtain the graph of a quadratic function, these three features have to be obtained from the function's definition:
- The x-intercepts, which are the roots of the function.
- The y-intercept, which is the value of y when the function crosses the y-axis.
- The vertex, which is the turning point of the function.
The function for this problem is defined as follows:
y = 1.5x² + 4x - 2.
Hence the numeric values of the coefficients are listed as follows:
a = 1.5, b = 4, c = -2.
Inserting these coefficients into a calculator, the x-intercepts of the function are given as follows:
- x = -3.09 -> hence the function passes through point (-3.09, 0).
- x = 0.43 -> hence the function passes through point (0.43, 0).
The y-intercept of the function is given by coefficient c = -2, hence the function also passes through point (0, -2).
The x-coordinate of the vertex is given as follows:
x = -b/2a = -4/3 = -1.33.
Hence the y-coordinate of the vertex is of:
y = 1.5(-1.33)² + 4(-1.33) - 2 = -4.67.
<h3>Missing Information</h3>The problem asks for the graph of the following function:
y = 1.5x² + 4x - 2.
More can be learned about quadratic functions at brainly.com/question/24737967
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