Answer:
Step-by-step explanation:
<u>Dilation is applied by the rule:</u>
- (x, y) → (kx, ky), where k is the scale factor
<u>We have</u>
- (x, y) = (-2, 3) and (kx, ky) = (-8, 12)
<u>Substitute and solve for k</u>
- -8 = -2k and 12 = 3k ⇒ k = 4
<u>So the rule is</u>
Answer:
12
Step-by-step explanation:
f(x) = -x^3 + x^2
Let x = -2
Evaluate the expression
f(-2) = -(-2)^3 + (-2)^2
= - (-2)*(-2) * (-2) + ( -2) * (-2)
= -(-8) + ( 4)
= 8 + 4
= 12
The degree of the polynomial is 5.
4 pounds = $1.96
1.96 / 4 = $0.49
Answer:
y = 2(x - 1)² + 1
Step-by-step explanation:
The equation of a quadratic function in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (1, 1), thus
y = a(x - 1)² + 1
To find a substitute (4, 19) into the equation
19 = a(4 - 1)² + 1
19 = 9a + 1 ( subtract 1 from both sides )
18 = 9a ( divide both sides by 9 ), thus
a = 2
y = 2(x - 1)² + 1 ← in vertex form
