y = - 3(x + 1 )² + 2
the equation of a quadratic 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 vertex = (- 1, 2), hence
y = a(x + 1)² + 2
to find a substitute (1, - 10) into the equation
- 10 = 4a + 2 ⇒ 4a = - 12 ⇒ a = - 3
y = - 3(x + 1)² + 2 ← in vertex form
When it has the line under the sign that means the dot is closed. For example that is closed because it x is greater than or equal to -1, so if it has a line under the > sign that means the dot is closed
Answer:
(4, 25) (5, 20) (10, 10)
Step-by-step explanation:
Please see attached for graph.
Integer coordinate pairs (using the restrictions of the axis):
(4, 25) (5, 20) (10, 10)
Answer:
(3rd listed choice) Paula's notes are incorrect. Step 4a should be "If the result does not define y as a function of x, then f does not have an inverse," and step 4b should be "If the result defines y as a function of x, then f has an inverse."
Step-by-step explanation:
If f(y) = x can be solved for a relation for y that is a function, then f(x) has an inverse. It will be the function defined by y.
16. 9
Since each side are congruent, you set the two sides to each other
7x-12=3x
Subtract 7x from both sides
-12=-4x
Divide -4 from both sides
3=x
3+3+3=9
18. 28
2x-3=3x-10
Add 10 on both sides
2x+7=3x
Subtract 2x on both sides
7=x
7+7+7+7=28