Answer:
B) 1296 D) 729
Step-by-step explanation:
It's pretty straight forward, just put the values into your calculator. The question is asking to evaluate instead of simplifying, so this works. If you don't have a calculator, here are some tricks. Do them step by step in your head slowly if you have to, for fractions do them alone, and then divide them. Also in D, don't let the second value of (3)3)0 scare you, any exponent with a 0 in it is automatically 1! Hope I could help.
The y-intercept is the point where the graph crosses the y-axis. It is found by setting x=0. For your equation, that makes the x-term vanish and only the constant remains. The ordered pair is ...
(x, y) = (0, -9)
Answer:
y = 3
Step-by-step explanation:
The vertex of the parabola is (1,4) and the axis of the parabola is parallel to the positive y-axis.
So, the equation of the parabola will be (x - 1)² = 4a(y - 4) ....... (1)
Now, we have to get the value of a since the equation id the directrix is y = 4 - a.
Now, the parabola passes through the point (3,5) {Obtained from the graph).
Therefore, from equation (1), we get, 2² = 4a × 1, ⇒a = 1
Therefore, the equation of the directrix is y = 4 - 1 = 3. (Answer)
