Answer:
Given equation: 
The function is a <u>quadratic function</u> in <u>vertex form</u>: 
<u>Translations</u>
For 
Parent function: 
<u>Translations</u>
Translated 1 unit left: 
Then translated 2 units down: 
Therefore, translate the parent function by <u>1 unit left</u> and <u>2 units down</u> to produce the given equation.
Answer:it is the same triangle just turned around in a different position
Step-by-step explanation:
Answer:
x-intercepts are (0, 0) and (-6, 0)
Step-by-step explanation:
equation of a parabola in vertex form: y = a(x - h)² + k
where (h, k) is the vertex
Substituting the given vertex (-3, -18) into the equation:
y = a(x + 3)² - 18
If the y-intercept is (0, 0) then substitute x=0 and y=0 into the equation and solve for a:
0 = a(0 + 3)² - 18
⇒ 0 = a(3)² - 18
⇒ 0 = 9a - 18
⇒ 9a = 18
⇒ a = 2
Therefore, y = 2(x + 3)² - 18
To find the x-intercepts, set the equation to 0 and solve for x:
2(x + 3)² - 18 = 0
Add 18 to both sides: 2(x + 3)² = 18
Divide both sides by 2: (x + 3)² = 9
Square root both sides: x + 3 = ±3
Subtract 3 from both sides: x = ±3 - 3
so x = 3 - 3 = 0
and x = -3 - 3 = -6
So x-intercepts are (0, 0) and (-6, 0)
Answer:
$8.50
Step-by-step explanation:
42.50 divided by 5 = 8.50
