QuestionWrite the equation for "The -value is three increased by the square of the -value" and choose the correct option.
Studdy Solution
STEP 1
Assumptions1. The sentence "The -value is three increased by the square of the -value" is to be translated into a mathematical equation.
. The equation will be in two variables, and .
3. The equation will be graphed.
STEP 2
Let's translate the sentence into a mathematical equation. The sentence "The -value is three increased by the square of the -value" means that the -value is equal to three plus the square of the -value.
STEP 3
Now, let's compare the equation we derived with the given options. The correct equation according to our translation is , which matches option A.
STEP 4
Now, let's graph the equation . The graph of this equation is a parabola that opens upwards with the vertex at .
To graph this equation, we can start by plotting the vertex. Then, for a few values of , we calculate the corresponding values of and plot these points. Finally, we draw a smooth curve through these points to complete the graph.
The solution to the problem is option A .
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