Answer
y = 1(x +1) - 3
Explanation
A quadratic equation of the form y = ax^2 + bx + c
This written in complete the square form provides you with the vertex (either a maximum or minimum point depending on the equation).
This results in y = a(x + p) + q
Where - p is the x value and q is the y value of turning point.
For graph 22, x = -1 and y = -3
Therefore, the equation is of the form
y = a(x + 1) - 3 (*)
We still need the value a, this can be obtained by using the y-intercept we are given.
We are told x = 0 when y = -2
Substitute this in (*) equation:
-2 = a(0+1) - 3
-2 = a - 3
a = 1
Therefore final equation is
y = 1(x +1) - 3
This should provide you with the train of thought of how the second question should also be tackled.
If unsure about why the equation
y = a(x + p) + q gives the vertex ask in comments I will respond
Answer:
Since the triangles are congruent, AB=ED so AB=14
Angles F is congruent to angle C so F=39 degrees
Step-by-step explanation:
Both Aliyah and Ivan are correct because both chose the correct scale factor for the dilation and both describe other transformations that would produce triangle <span>. </span>
Keeping in mind that the area of a rectangle is simply width * length, if we get the area of the larger rectangle, and then
subtract the area of the smaller rectangle, we're in effect making a hole in the larger rectangle's area and thus what's leftover is the shaded area.
Answer:
y = 0
Step-by-step explanation:
y =1/2(4)-2
y= 2-2
y=0
