1. how does the graph of a quadratic function in the form y=a(x−p)2+q change when the value of p is increased by 2, the value of q is decreased by 3, and the sign of a is changed to its opposite?
a) the graph is reflected in the x-axis, and translated 2 units right and 3 units up.
b) the graph is reflected in the y-axis, and translated 2 units right and 3 units down.
c) the graph is reflected in the x-axis, and translated 3 units left and 2 units up.
d) the graph is reflected in the x-axis, and translated 2 units right and 3 units down.
2. on average, jesse can bike five times as fast as he can run. to travel 25 km, he needs 2 h more if he is running than if he is biking. what is his average running speed? round your answer to the nearest whole kilometer per hour.
a) 10km/h
b) 5km/h
c) 20km/h
d) 2km/h
3. the half-life of an isotope is 5.6 days. if there is originally 150g of
the isotope, how long will it be before only 10g remain?
a) 4.3 days
b) 21.9 days
c)11.2 days
d)25.0 days