1.) If you use the parent graph y=sqaureroot of x as a reference, how would you graph y=sqaureroot of x+2+5?
a.) Move the parent graph two units to the right and then up five units.
b.) Move the parent graph two units to the left and then up five units.
c.) Move the parent graph two units to the right and then down five units.
d.) Move the parent graph two units to the left and then down five units.
e.) None of these.
2.) If you use parent graph y=x^2 as a reference, how would you graph y=-x^2-3?
a.) Reflect the parent graph over the y-axis and then move the graph to the left three units.
b.) Reflect the parent graph over the x-axis and then move the graph down three units.
c.) None of these.
d.) Reflect the parent graph over the x-axis and then move the graph up three units.
e.) Reflect the parent graph over the y-axis and then move the graph down three units.
I assume you mean √(x+2) + 5
That would be √x shifted left 2 and up 5
So, (b)
x^2
-x^2 is flipped upside-down
-x^2-3 is then shifted down 3
So, (b) again
1.) The correct answer is a.) Move the parent graph two units to the right and then up five units.
To graph y=sqrt(x+2)+5, we start with the parent graph y=sqrt(x). The graph of y=sqrt(x) is a U-shaped curve that starts at the point (0,0) and extends to the right.
To graph y=sqrt(x+2)+5, we need to make two changes to the parent graph:
1.) Move the graph two units to the right: This means shifting the entire graph horizontally to the right by two units. This is done by subtracting 2 from the x-coordinate of each point on the parent graph.
2.) Move the graph up five units: This means shifting the entire graph vertically upwards by five units. This is done by adding 5 to the y-coordinate of each point on the graph after the horizontal shift.
So, the correct answer is a.) Move the parent graph two units to the right and then up five units.
2.) The correct answer is b.) Reflect the parent graph over the x-axis and then move the graph down three units.
To graph y=-x^2-3, we start with the parent graph y=x^2. The graph of y=x^2 is a U-shaped curve that opens upwards and passes through the point (0,0).
To graph y=-x^2-3, we need to make two changes to the parent graph:
1.) Reflect the graph over the x-axis: This means flipping the entire graph upside-down. This is done by multiplying the equation by -1.
2.) Move the graph down three units: This means shifting the entire graph vertically downwards by three units. This is done by subtracting 3 from the y-coordinate of each point on the graph after the reflection.
So, the correct answer is b.) Reflect the parent graph over the x-axis and then move the graph down three units.
1.) To graph y = sqrt(x+2)+5 using the parent graph y = sqrt(x) as a reference, you need to perform two transformations: a horizontal translation and a vertical translation.
First, for the horizontal translation, you need to move the parent graph two units to the left since the original equation is x+2. This means you need to shift the graph to the left by two units.
Second, for the vertical translation, you need to move the graph up five units since the original equation is +5. This means you need to shift the graph upward by five units.
Therefore, the correct answer is b.) Move the parent graph two units to the left and then up five units.
2.) To graph y = -x^2 - 3 using the parent graph y = x^2 as a reference, you need to perform two transformations: a reflection and a vertical translation.
First, for the reflection, you need to reflect the parent graph over the x-axis since the original equation is -x^2. This means you need to flip the graph upside down.
Second, for the vertical translation, you need to move the graph down three units since the original equation is -3. This means you need to shift the graph downward by three units.
Therefore, the correct answer is b.) Reflect the parent graph over the x-axis and then move the graph down three units.