Answer:
a. Narrower
b. Shifts left
c. Opens up
d. Shifts up
Step-by-step explanation:
The original quadratic equation is y = x²
The given quadratic equation is y = 5·(x + 4)² + 7
The given quadratic equation is of the form, f(x) = a·(x - h)² + k
a. A quadratic equation is narrower than the standard form when the coefficient is larger than the coefficient in the original equation
The quadratic coefficient is 5 > 1 in the original, therefore, the quadratic equation is <em>narrower</em>
b. Given that the given quadratic equation has positive 'a', and 'b', and h = -4, therefore, the axis of symmetry <em>shifts left</em>
c. The quadratic coefficient is positive, (a = 5), therefore, the quadratic equation <em>opens down</em>
d. The value of 'k' gives the vertical shift, therefore, the given quadratic equation with k = 7, <em>shifts up.</em>
Answer:
No, it is 45
Step-by-step explanation:
5*9=45
Answer:
I cant see it
Step-by-step explanation:
I dont Know
Answer:
daffodil = $13 Tulip = $7
Step-by-step explanation:
6t + 12d = 198
7t + 6d = 127
6t = 198 - 12d
t = 33 -2d
substitute
7(33-2d) + 6d = 127
231 -14d +6d = 127
- 8d = -104
d =13
6t + 12(13) = 198
6t +156 = 198
6t = 42
t = 7
Answer: 102
Step-by-step explanation:
Let the numbers be a, a+2 and a+4. Since the sum of three consecutive even numbers is 312, this will be:
a + a+2 + a+4 = 312
3a + 6 = 312
3a = 312 - 6
3a = 306
a= 306/3
a = 102
Therefore, the smallest number is 102.
Other numbers are 104 and 106.
