Tell whether (1,0) is a solution of y=3x-3
2 answers:
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Answer:
A
Step-by-step explanation:
To understand this, we can look at the vertical & horizontal translations of a parabola of the form
- A vertically translated parabola has the form
, where k is the vertical shift upward when k is positive and vertical shift downward when k is negative.
- A horizontally translated parabola has the form
, where a is the horizontal shift rightward when a is positive and horizontal shift leftward when a is negative.
When we replace x of the original function with (x-1), we have . According to the rules, this means that the original function is shifted 1 unit right (horizontal shift).
Correct answer is A.
Answer:
<u>Using below system of inequalities</u>
- y > 2x - 3
- y < x + 1
<u>Following the rules </u>
- 1. Finding x- and y - intercepts
- 2. Connecting with dotted line for each as no equal symbol present in any inequality
- 3. Shade respective regions
- 4. Solution is the intersection of the shades regions
- 5. Select any three points in the solution region
<u>Line 1</u>
- y > 2x - 3
- x- intercept: y = 0 ⇒ 0 = 2x - 3 ⇒ 2x = 3 ⇒ x = 1.5
- y - intercept: x = 0 ⇒ y = -3
- Shaded region is above the line (or to the left)
<u>Line 2</u>
- y < x + 1
- x- intercept: y = 0 ⇒ 0 = x + 1 ⇒ x = -1
- y - intercept: x = 0 ⇒ y = 1
- Shaded region is below the line (or to the right)
<u>Selected points are:</u>
- (-1, -1), (1, 1), (2, 2)
