Please help and explain.
1 answer:
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.
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Answer:
15 cm²
Step-by-step explanation:
5 + 1 + 1 = 7
7 × 5 = 35
5 × 1 = 5
5 + 5 + 5 + 5 = 20
35 - 20 = 15
First, simplify
Second, simplify
Third, multiply both sides by 12 (the LCM of 3 and 4) / Your problem should look like:
Fourth, subtract 2 from both sides. / Your problem should look like:
Fifth, simplify -9x + 12 - 2 to -9x + 10. / Your problem should look like:
Sixth, add 9x to both sides. / Your problem should look like:
Seventh, add 8x + 9x to get 17x. / Your problem should look like:
Eighth, divide both sides by 17. / Your problem should look like:
Answer as fraction: x =
Answer as decimal: x = 0.5882