Math  /  Algebra

QuestionGraph f(t)=t2+10t+23f(t)=t^{2}+10 t+23. You ony need to graph the vertext and one other point.

Studdy Solution
Sketch the graph using the vertex and the additional point:
1. Plot the vertex (5,2) (-5, -2) on the graph.
2. Plot the additional point (0,23) (0, 23) .
3. Draw a smooth curve through these points, ensuring the parabola opens upwards (since a=1>0 a = 1 > 0 ).

The graph of f(t)=t2+10t+23 f(t) = t^2 + 10t + 23 has its vertex at (5,2) (-5, -2) and passes through the point (0,23) (0, 23) .

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