Question

unit 1 do nows
do now 1 - 1.1 function basics

1. in which quadrant do lines l and m intersect?

a. quadrant i
b. quadrant ii
c. quadrant iii
d. quadrant iv
what is the value of the expression 2x² - 7x + 3 when x = -4?
a. -1
b. -57
c. 63
d. 7
if point p(-2, -1) is translated 3 units left and 5 units up, then reflected in the x - axis, give the coordinates of the new position.
(□,□)
which expression represents the perimeter of the rectangle below?
8x - 43
5x + 12
a. 13x - 31
b. 13x - 55
c. 26x - 62
d. 26x - 124
do now 2 - 1.2 parts of a graph
find the domain and range of each graph:

1. domain:

range:

1. domain:

range:

1. domain:

range:

1. domain:

range:

1. domain:

range:

1. domain:

range:

Explanation:

1. Inter - section of lines

Step1: Observe the graph

By looking at the graph of lines \(l\) and \(m\), we can see that they intersect in the second quadrant.

Step1: Translation

The point \(P(-2,-1)\) is translated 3 units left and 5 units up. Translating 3 units left means subtracting 3 from the \(x\) - coordinate, and 5 units up means adding 5 to the \(y\) - coordinate. The new point after translation is \(P_1=(-2 - 3,-1 + 5)=(-5,4)\).

Step2: Reflection

Reflecting the point \(P_1(-5,4)\) in the \(x\) - axis changes the sign of the \(y\) - coordinate. The new point is \((-5,-4)\).

Step1: Substitute \(x=-4\) into the expression \(2x^{2}-7x + 3\)

We know that \(x=-4\), so \(2x^{2}-7x + 3=2(-4)^{2}-7(-4)+3\).

Step2: Calculate each term

First, \((-4)^{2}=16\), so \(2(-4)^{2}=2\times16 = 32\). Second, \(-7(-4)=28\).

Step3: Combine terms

\(2(-4)^{2}-7(-4)+3=32 + 28+3=63\).

Answer:

B. Quadrant II

2. Translation and reflection of a point