Answer:
Purplemath
Introduces reflections in the x- and y-axes. ... To see how this works, take a look at the graph of h(x) = x2 + 2x – 3. ... The previous reflection was a reflection in the x-axis. ... f (x – b) shifts the function b units to the right.
Answer:
y = -0.5(x - 4)^2 + 5.
y = -0.5x^2 + 4x - 3.
Step-by-step explanation:
The vertex is at (4, 5). so we have:
f(x) = a(x - 4)^2 + 5
When x = 0 y = -3 so substituting in the above:
- 3 = a(0-4)^2 + 5
-8 = 16a
a = -0.5.
So the vertex form is y = -0.5(x - 4)^2 + 5.
Standard form:
y = -0.5(x^2 - 8x + 16) + 5
y = -0.5x^2 + 4x - 8 + 5
y = -0.5x^2 + 4x - 3.
Consider the following example:
Mira and Lola are looking to hire a hall for their 18th birthday party. They are expecting at least 50 guests and want a hire that will accommodate the party. Write this requirement as an inequality
Solution: the keyword here is 'at least' because it means that the hall must be able to accommodate a minimum of 50 people. It is a clue that Mira and Lola are expecting more than 50 guests. The inequality symbol for this context is 'more than or equal to' and as inequality, we have x ≥ 50
Answer:
Step-by-step explanation:
h = √6 units
b = √9 units
A = b*h/2 = √6·√9 /2 = √(6·9)/2 = √(2·3·3·3)/2 = 3√3 /2 units ²≈ 2.6 units²
