Answer:
Range: [-7, 8]
General Formulas and Concepts:
<u>Algebra I</u>
- Reading a coordinate plane
- Range is the set of y-values that are outputted by function f(x)
- Interval Notation: [Brackets] denote inclusion, (Parenthesis) denote exclusion
Step-by-step explanation:
According to the graph, our y-values span from -7 to 8. Since both are closed dot, they are included in the range:
Range: [-7, 8]
Answer:
C. y= 6.18x + 10.9
Step-by-step explanation:
Every game that he plays (x) costs 6.18, for example, if he plays 3 games it would be 6.18 times 3 (games)
Now you have to add your admission, 10.9
To enter he needs to pay the admission ( 10.9 ) and also each game ( x ) he plays ( 6.18 )
Y = -(1/2)(x-2)² +8
Re write it in standard form:
(y-8) = -1/2(x-2)² ↔ (y-k) = a(x-h)²
This parabola open downward (a = -1/2 <0), with a maximum shown in vertex
The vertex is (h , k) → Vertex(2 , 8)
focus(h, k +c )
a = 1/4c → -1/2 = 1/4c → c = -1/2, hence focus(2, 8-1/2) →focus(2,15/2)
Latus rectum: y-value = 15/2
Replace in the equation y with 15/2→→15/2 = -1/2(x-2)² + 8
Or -1/2(x-2)² +8 -15/2 = 0
Solving this quadratic equation gives x' = 3 and x" = 2, then
Latus rectum = 5
