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:
6 containers
6 ounces of fruit snack will be left over
Step-by-step explanation:
1 pound = 16 ounces
⇒ ¹/₂ pound = 8 ounces
Total weight = weight of dried apples + weight of dried cranberries
= 36 + 18
= 54 ounces
Containers needed = total weight ÷ weight of snacks in one container
= 54 ÷ 8
= 6.75
Therefore, he will fill 6 containers
Snack left over = total weight - (number of containers × weight of snacks one container will hold)
= 54 - (6 × 8)
= 54 - 48
= 6 ounces
Answer:
total area = 217 m³
Step-by-step explanation:
area of the triangle
= 14 × 10
= 140 m²
area of a semicircle
= 1/2 × 22/7 × 7 × 7
= 77 m²
total area
= 140 + 77
= 217 m³
Answer:
Check the photo for the answer
The hypotenuse is always the biggest side of a right traingle.
