Answer:
The correct option is C.
Step-by-step explanation:
The quadratic parent function is
The translation is defined as
.... (1)
Where, k is vertical stretch, a is horizontal shift and b is vertical shift.
If |k|>1, then graph of parent function stretch vertically by factor |k| and if 0<|k|<1, then parent function compressed vertically by factor |k|. Negative k represents the reflection across x axis.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
The graph shift 1 unit right,vertically stretch by a factor of 5 , reflect over the x-axis. So, a=-1, |k|=5 and k=-5
Substitute a=-1 and k=5 in equation (1).
Therefore the correct option is C.
Answer: perimeter = 96mm, Area = 564mm².
Step-by-step explanation:
From the diagram, it is a trapezium, it has a rectangle joined together by a right angled triangle. Now to find the perimeter, we add all the dimensions together. To get the other side of the rectangle, which is also the perpendicular height of the figure, we take the Pythagoras. Let the perpendicular height = x
Therefore,
25² = ײ + 7²
625 = x² + 49
x² = 625 - 49
x² = 576
x. = √576
= 24.
Now the perimeter
= 20 + 25 + 7 + 20 + 24
= 96mm.
Area of the figure will be
= 1/2( a + b )h
Where a = 20, b = 20 + 7 = 27 and h = 24, now substitute for the values
( 20 + 27) x 24
---------------------
2
= 47 x 24/2
= 47 x 12
= 564mm²
From figure 1: -
From figure 2: 12
From figure 3: 6
From figure 4: -12
From figure 5: -2
Step-by-step explanation:
We need to solve the equation for k.
Solving:
So, the options to be selected are:
From figure 1: -
From figure 2: 12
From figure 3: 6
From figure 4: -12
From figure 5: -2
Keywords: Solving equations
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A square is a special case of a parallelogram, rectangle and a rhombus - they all have 2 pairs of parallel sides. A trapezoid cannot be classified as a square because it only has one pair of parallel sides