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:
b = 104
Step-by-step explanation:
Slope is expressed as;
m = y2-y1/x2-x1
14 = b - 6/5-(-2)
14 = b - 6/5+2
14 = b-6/7
Cross multiply
b-6 = 14 * 7
b - 6 = 98
b = 98 + 6
b = 104
Number name is the same as word form
8.542 = eight and five hundred fourty-two thousandths.
hope this helps
Yes but if you need it in mixed number form it’s 1 1/3
Answer:
<h2>2.2</h2>
Step-by-step explanation:
Use the cosine law:
We have:
Substitute:
