Which of the following is an equivalent form of the function fabove in which the minimum value of fappears as a constant or coefficient?
Options
A
B
C
D
Answer & Analysis
Answer
C
Analysis
What we need for this question is to calculate the y-coordinate of the vertex of the parabola.
First, let’s set equal to 0 and find the x-intercepts. As we can see, the equation is already in factored form, so it’s particularly easy for this one:
The values of x that satisfy this equation are and . The vertex will be located directly between these two points, so add them together and divide by 2 to find the x-midpoint: The x-coordinate of the vertex is “1.5”. Therefore, we can plug this figure back into the original equation to find the corresponding y-coordinate at the vertex:
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