The vertex for a quadratic function is either the minimum point or the maximum point of the curve depending on the nature of the curve from which the curve changes direction.

In the graph shown for the quadratic function, it has minimum point as the graph opens upwards. So, the vertex is the minimum point of the curve.

The vertex of the graph is $(1,-2)$ .

7 0

3 years ago

A conveyor belt takes products from the ground to the storage loft of a building. The belt makes an angle of 52 degrees with the

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Answer: 43.85 feet.

Step-by-step explanation:

1. You can draw a rigth triangle, as you can see in the figure attached. Where $x$ is the distance traveled from the ground to the loft.

2. Then, to solve this problem you should follow the proccedure shown below:

$cos\alpha=\frac{adjacent}{hypotenuse}$

Where:

$\alpha=52$ °

$adjacent=27$

$hypotenuse=x$

3. Substitute the values. Therefore, the result is:

$cos(52)=\frac{27}{x}\\x=\frac{27}{cos(52)}\\x=43.85ft$

4 0

3 years ago