Hence the correct answer is C) -23
Further explanation:
We have to put the values of m and n into both expression first separately and then multiply the answers.
Given expressions are:
The values are:
Putting the values in expression 1:
Putting the values of m and n in second expression
Multiplying both expressions:
Hence the correct answer is C) -23
Keywords: Polynomials, Putting values in expressions
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Given the next quadratic function:
to sketch its graph, first, we need to find its vertex. The x-coordinate of the vertex is found as follows:
where <em>a</em> and <em>b</em> are the first two coefficients of the quadratic function. Substituting with a = 2 and b = 3, we get:
The y-coordinate of the vertex is found by substituting the x-coordinate in the quadratic function, as follows:
The factorization indicates that the curve crosses the x-axis at the points (-2, 0) and (1/2, 0). We also know that the curve crosses the y-axis at (0,-2). Connecting these points and the vertex (-0.75, -3.125) with a U-shaped curve, we get:
