Act Coordinate Geometry

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

• The graph of g is a vertical translation 2 units up of the graph of f

• The graph of f is a horizontal translation two units left of g

• The graph of g is a reflection of the graph of f

What is the axis of symmetry?

• x=-1

• x=-2

• y=-1

• y=3

What is the equation for this circle?

• (x+1)²+(y+1)²=9

• x²+y²=9

• x²+y²=6

• x²+y²=3

Tags

CCSS.HSG.GPE.A.1

Find the distance between the pair of points.

Distance Formula: $\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}=d$

Tags

CCSS.HSG.GPE.B.7

Find the midpoint of the line segment with the given endpoints (3,9) and (5,9)

• (-1,0)

• (4,9)

• (6,7)

• (7,9)

Tags

CCSS.HSG.GPE.B.6

Write the equation of a circle with center (7, 0) with radius 3.

• (x - 7)² + y² = 9

• x² + (y -7)² = 9

• (x - 7)² + y² = 3

• x² + (y -7)² = 3

Tags

CCSS.HSG.GPE.A.1

What is the equation of the circle?

• (x+1)² + (y +1)² = 3

• (x+1)² + (y -1)² = 3

• (x+1)² + (y +1)² = 9

• (x-1)² + (y -1)² = 9

Tags

CCSS.HSG.GPE.A.1

What is the center of the circle with this equation is (x+2)²+(y-4)²=41?

• (-2,41)

• (-2,4)

• (2,-4)

• (2,41)

Tags

CCSS.HSG.GPE.A.1

A circle has the equation  
x² + y² - 12x + 8y + 3 = 0.  Write the equation in standard form.

• (x - 6)² + (y + 4)² = 49

• (x + 4)² + (y - 6)² = 49

• (x - 6)² + (y + 4)² = 55

• x² + y² = 55

Tags

CCSS.HSG.GPE.A.1

Which of the following lines is PARALLEL to the graph of y = -6x + 3 and goes through the point (-1,4)?

• y=1/6x +25/6

• y = 1/6x + 4

• y = -6x - 2

• y = -6x + 4