Answer:
C
Step-by-step explanation:
The equation of a parabola 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) = (5, 2), thus
y = a(x - 5)² + 2
To find a substitute (4, - 3) into the equation
- 3 = a + 2 ⇒ a = - 3 - 2 = - 5
y = - 5(x - 5)² + 2 ← in vertex form
Expand (x - 5)² and distribute by - 5
y = - 5(x² - 10x + 25) + 2
= - 5x² + 50x - 125 + 2
= - 5x² + 50x - 123 ← in standard form
Answer:
681
Step-by-step explanation:
681 is already a whole number:)
Answer:
D
Step-by-step explanation:
So we have the expression:
Use the distributive property and distribute:
Distribute:
Combine like terms:
The correct answer is D
Edit: Typo
We are given with an original equation of y = x where the slope is 1 and passes through (0,0). if the equation is translated by 8 units to the right, the line still has the same slope but now passes through (8,0).
y-y1 = m (x-x1)y - 0 = 1 (x-8)y = x - 8
The line now becomes y = x - 8
