Questions: (a) What is the vertex of Function 1? (2,5) (b) What is the vertex of Function 2? (-2,8) (c) Which function has the larger maximum value? Function 2 What is the larger maximum value? 8

(a) What is the vertex of Function 1? (2,5) (b) What is the vertex of Function 2? (-2,8) (c) Which function has the larger maximum value? Function 2 What is the larger maximum value? 8
Transcript text: (a) What is the vertex of Function 1? $(2,5)$ (b) What is the vertex of Function 2? $(-2,8)$ (c) Which function has the larger maximum value? Function 2 What is the larger maximum value? 8
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Solution

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Solution Steps

Step 1: Find the vertex of Function 1

The table shows that the highest $y$ value is 7, which occurs when $x=4$. The values of $y$ decrease as $x$ increases above 4, and decrease as $x$ decreases below 4. This implies the vertex is at $x=4$. Therefore, the vertex of Function 1 is (4, 7).

Step 2: Find the vertex of Function 2

The graph of function 2 is a parabola that opens downwards. The vertex of the parabola is the highest point on the graph. From the graph, we see that the highest point is (-2, 8).

Step 3: Determine which function has a larger maximum value

Function 1 has a maximum value of 7. Function 2 has a maximum value of 8. Therefore, Function 2 has the larger maximum value.

Final Answer:

(4, 7), (-2, 8), Function 2

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