100 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!! PLEASE SHOW STEPS TO ALL PARTS
2 answers:
Answer:
Step-by-step explanation:
<u>Part A: the x-intercepts are -3/2 and 5/2 </u>
- 4
- 7x - 15 -----> (2x + 3) (2x - 5)
2x + 3 = 0 --------> 2x = -3 ----------> x =
2x - 5 = 0 ---------> 2x = 5 -----------> x =
<u>Part B: the parabola is a minimum, the vertex is (7/8,-289/16) </u>
f(x)=ax^2+bx+c
if a>0, then the parabola opens up and the vertex is a minimum
a<0 then the parabola opens down and the vertex is a max
- a = 4, it is a minimum
the x value of the vertex in f(x)=ax^2+bx+c= is -b/(2a)
the y value of the vertex is f(-b/(2a))
f(x) = 4 - 7x - 15
a = 4
b = -7
-b/2a=-(7)/(2*4)=7/8
f(7/8) = 4 - 7(7/8) - 15
f(7/8) = 49/16 - 49/8 - 15
f(7/8) = -289/16
- the vertex is (7/8,-289/16)
<u>Part C: </u>
- the vertex is minimum and the graph goes through the x intercepts
- plug in x values to get the y value (EX: choose 0 for x, and you'll get -15 for y, so you would plot the point at (0, -15). you could plug in 1 for x, and get -18 for y, plotting the point (1, -18) )
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Answer: The correct option C. The figure shows the a reflection across the line containing BA.
Explanation:
The rigid transforms means reflection, dilation and transformation.
In the given figure the two triangles are given ABC and ABF.
So by SAS the triangle CAB and FAB are congruent.
The common side is BA, so the figure shows the a reflection across the line containing BA. The point C and F are equal distance from the line BA. AS shown in below figure.
From the figure it is easily noticed that the triangle FAB is the mirror image of triangle CAB across the side AB.
Therefore the correct option is C.
