Vertex=
Y-intercept=
Zero(s)=
Range=
Axis of stmmetry =

Step-by-step explanation:

Vertex

Another name for vertex is "turning point." A vertex is a point where a line or curve changes direction, often going in an opposite direction. The word is used to describe the extreme points of polygons and 3-D geometries, the ends of the rays that make up an angle, and the turning points on 2- and 3-D graphs. Here, you're asked for the coordinates of the vertex. The extreme point on this graph is where it touches the x-axis at x=2. The coordinates of the vertex are (2, 0).

y-intercept

The y-intercept is the place where the graph crosses the y-axis. The x-coordinate of the y-intercept is always 0. The coordinates of the y-intercept are (0, -4).

Zero(s)

The zeros are the places where the y-coordinate is zero, where the graph meets or crosses the x-axis. Here, the only place the graph touches the x-axis is at its vertex, so there is one zero at (2, 0).

Range

The range is the vertical extent of the graph. The arrows on its ends tell you that it extends to -∞. The vertex coordinates tell you the graph does not extend above y=0. The range is -∞ < y ≤ 0.

Axis of symmetry

The axis of symmetry of a parabola is the line through its vertex that is halfway between the "sides" of the parabola. When the parabola opens upward or downward, like this one, the axis of symmetry is a vertical line. The equation of a vertical line is x = constant. The constant is the x-coordinate of the vertex, so the equation of the axis of symmetry is x = 2.

parallel and congruent

step-by-step explanation:

the movement of translation is linear.   these have the same translation because you are using the same rule for each point of the triangle so you will see the same slope being used to get from a point on the triangle to its image.

same slope!   you should think parallel when you see those 2 word together (well unless it's the same line but it can't be because we are coming from different points here)

congruent! because each point is being moved the same distance.

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

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