Answer:
The coordinates are x=2 and y=16, or (2, 16)
Step-by-step explanation: The definition of the vertex of a parabola(the shown graph) is the highest or lowest point on the graph, depending which way the graph opens. When a graph opens upwards, towards positive y, the vertex is the lowest point. On the contrary, when the graph opens downwards, like this graph, the vertex is the highest point. On the graph, you can see clearly that the highest point on the graph has an x-value of 2 and a y-value of 16, making the vertex (2, 16)
Answer:
A = 9, B = 5, C = 3
the parabola opens upwards
y-intercept = 3
Step-by-step explanation:
Since the equation is f(x)=9x^2+5x+3, you can determine what a, b, and c are by associating it with a quadratics standard form, <u>ax^2+bx+c</u>. The numbers correspond with each letter in the skeletal equation.
To determine whether the parabola opens up or down, you can simply look at the a value. If <u>x > 0</u>, the the parabola will <u>open upwards</u>, whereas if <u>x < 0</u>, the parabola will <u>open downwards</u>.
To determine <u>y-intercept</u>, just plug in the value of 0 into x and solve for y.
1. Over a period of 6 years (from 1980 to 1986) the house gained a value of 12000 dollars (109k-97k). 12000/6 gives you a rate of 2000 dollars per year. Because the initial price at t=0 is 97000, the function is 97000+2000t
Answer:
A=78
B=102
C=78
Step-by-step explanation:
A= a and 102 are on a straight line so they add up to 180. 180-102=78. The same goes for C
B= the vertical angle for 102, or the same thing with a and c, just flipped around