Graph f(x)=x2 +2x-3 label x and y intercept and vertex with their coordinates and draw axis of symmetry

f(x) = x² + 2x - 3  ..….equation1

The graph of function will be a parabola

Standard form of parabola:

y=ax²+bx+c

x-coordinate of the vertex can be found using

x =

from equation 1 find values for a, b, and c.

a = 1, b = 2, c = -3    ⇒  x=−2/2(1) ⇒  x = -1

substitute the value of x into equation 1 for y-coordinate

f(-1) = (-1)² + 2(-1) – 3 ⇒ −4

vertex =(-1,−4)

Axis of symmetry = x = -1,  

Axis of symmetry is vertical and passes through the vertex with equation

x = -1

For x-intercept, put y = 0

x² + 2x - 3=0   ⇒   x² + 3x -x - 3=0     ⇒  x( x + 3 ) -1 ( x + 3 )  ⇒ ( x − 1 )( x + 3 ) = 0

equate each factor to zero and solve for x

x − 1 = 0  ⇒  x = 1,         x + 3 = 0  ⇒  x = -3

x-intercept = { 1, -3 }

For y-intercepts put x = 0

y = (0)² + 2(x) - 3

y = -3

y-intercept = ( 0 , -3 )

The points for the vertex, x-intercepts, and y-intercept and axis of symmetry are plotted on the graph.  

a 360 degree rotation

step-by-step explanation:

the answer is: d) o, f, and kr.

atomic radius of bromine (br) is 114 pm.

atomic radius of oxygen (o) is 73 pm.

atomic radius of fluorine (f) is 72 pm.

atomic radius of krypron (kr) is 112 pm.

the atomic radius of a chemical element is a measure of the size of its atom.

the atomic radius varies with increasing atomic number, but usually increases because of increasing of number of electrons.

the atomic radius decreases across the periods because an increasing number of protons, because greater attraction between the protons and electrons.