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>
-2 pennies, 4 nickels, 4 dimes
-2 pennies, 4 nickels, 3 dimes
-2 pennies, 4 nickels, 2 dimes
And so on. Do you kind of get the idea?
Answer:
80
Step-by-step explanation:
The median is the middle value of the data arranged in ascending order. If there is no exact middle then the median is the average of the 2 values either side of the middle
Arrange the data in ascending order ( smallest to largest )
32, 77, 78, 82, 85, 87
There is no value exactly in the middle, use the average
median = 
= 
= 80
Answer:
He can lift 160 pounds
Step-by-step explanation:
125 (from last year) + 35 (more pounds) = 160 (total pounds)
125 + 35 = 160
Hello,
x²=49
==>(x+7)(x-7)=0
x=7 or x=-7
