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.
Result, Rachel can be certain that the temperature is suitable for her cake.
Answer: 21 & 18
Step-by-step explanation:
Sum of two numbers is 39
Difference is 3
Let the numbers be x & y
X+y=39........equation 1
X-y=3...........equation 2
X=3+y............equation 3
Substitute equation 3 into equation 1
(3+y)+y=39
3+y+y=39
3+2y=39
2y=39-3
2y=36
Y=36/2
Y=18
Substitute for y in equation 2
X-y=3
X-18=3
X=3+18
X=21
The two numbers are 21 & 18
Answer:
si
Step-by-step explanation:
Answer:
Below
Step-by-step explanation:
● f(x) = -2x + 3
● f (0) = -2 (0) +3 = 3
● f(-32) = -2(-32)+3 = 64 + 3 = 67
● f(10) = -2(10) +3 = -20 + 3 = -17
● f(-17) = -2(-17) + 3 = 34 + 3 = 37
● f(10) => -17
● f(-17) => 37