Given f(x) and g(x) = f(x) + k, use the graph to determine the value of k.
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Answer:
The coefficient of the squared term is 1/25.
Step-by-step explanation:
We are given that the vertex of a parabola is at (2, -4). We also know that <em>y</em> = -3 when <em>x</em> = -3.
And we want to determine the coefficient of the squared term of the equation.
Since we are given the vertex, we can use the vertex form of the quadratic:
Where (<em>h, k</em>) is the vertex and <em>a</em> is the leading coefficient. The leading coefficient is also the coefficient of the squared term, so we simply need to find the value of <em>a</em>.
Since the vertex is at (2, -4), <em>h</em> = 2 and <em>k</em> = -4. Substitute:
<em>y</em> = -3 when <em>x</em> = -3. Solve for <em>a</em>:
Simplify:
Therefore, our function in vertex form is:
Hence, the coefficient of the squared term is 1/25.