4/1 is 4. It's the same as saying 4 divided by 1
Answer:
Step-by-step explanation:
Question (1)
x² + 10x + 12
= x² + 2(5x) + 5² - 5² + 12
= [x² + 2(5x) + 5²] - 5² + 12
= (x + 5)² - 25 + 12 [Since, a² + 2ab + b² = (a + b)²]
= (x + 5)² - 13
Question (2)
y² - 6y - 15
= y² - 2(3y) - 15
= y² - 2(3y) + 3² - 3² - 15
= [y² - 2(3y) + 3²] - 3² - 15 [Since, a² - 2ab + b² = (a - b)²]
= (y - 3)² - 3²- 15
= (y - 3)² - 9 - 15
= (y - 3)² - 24
39=3m-15
39+15=3m
54=3m
54/3=3m/3
m=18
Answer:
9+2b
Step-by-step explanation:
add like terms
Answer:
- vertically expanded by a factor of 4
- then, translated upward 12 units
Step-by-step explanation:
If f(x) = x² and g(x) = 4x² = 4f(x), the function g(x) represents a vertical expansion of f(x) by a factor of 4.
If h(x) = g(x) +12, the function h(x) represents a translation of g(x) by 12 units upward.
Together, these transformations on f(x) are ...
- vertical expansion by a factor of 4
- translation upward by 12 units
_____
Please be aware that there are alternate transformations that will do the same thing:
h(x) = 4(f(x) +3) . . . . is a translation upward by 3, then a vertical expansion by a factor of 4
h(x) = f(2x) +12 . . . . is horizontal compression of f(x) by a factor of 2, then a translation upward by 12.
