Explanation:
Vertex form of a quadratic function is given by y = a(x - h)² + k
where
1) 'a' determines if parabola is stretched or compressed.
If a > 1 then graph is stretched by a factor of a.
If 0 < a < 1, then graph is compressed by a factor of a.
2) If a > 0 then graph opens upwards with a happy face. (minimum)
3) If a < 0 then graph opens downwards with a sad face. (maximum)
4) (h, k) is the vertex point
5) The axis of symmetry is x = h
While solving for y = 1(x - 4)² + 3
Identify following's:
Vertex: (h, k) = (4, 3)
Axis of symmetry: x = 4
Max/Min: As here a > 0, Minimum (4, 3)
Stretch/compression: a = 1, the graph is stretched by a factor of 1.
Direction of opening: As a > 0, the graph opens upwards.
Assignment: 
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Answer: 
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Explanation: 
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[ Step One ] Follow PEMDAS Order Of Operations; Calculate Within Parenthesis
Note: 
[ Step Two ] Rewrite Equation
[ Step Three ] Calculate Within Parenthesis
[ Step Four ] Rewrite Equation
[ Step Five ] Calculate Exponents
[ Step Six ] Rewrite Equation
[ Step Seven ] Multiply
[ Step Eight ] Rewrite Equation
[ Step Nine ] Subtract
[ Step Ten ] Rewrite Equation
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Answer:
First question
Circle A:
Radius:2.5 Diameter: 5 Circumference:15.71
Circle B:
Radius:12 Diameter:24 Circumference:75.4
Circle C:
Radius:32 Diameter:64 Circumference:201.06
Circle D:
Radius:42 Diameter:84 Circumference:263.89
Second one:
without Pi
1:81.68
2:37.7
3:263.89
with pi
1:26π
2:12π
3:84π
sorry, i have to keep looking back at the photo
for the last question i will be solving ok
Answer:
The prime factorization of 240, with exponents, is 24 × 3 × 5.
Answer:
y=-3x-12
Step-by-step explanation:
Plug into equation y=mx+b
3=(-3)-5+b
Simplify
3=15+b
Subtract 15 from both sides
-12=b
Add slope and y-intercept into base equation
y=-3x-12
