Quadratic Functions

The vertex is (1,3). The axis of symmetry is 3. The y-intercept is (0,2). The domain is y > 3. The range is y > 1.

Quadratic Functions

It opens up from the equation because it has a maximum vertex.

You have to use the AoS eqaution which is y=-b/2a.y=-(2)/2(-1) y=-2/-2 y=1

You have to use the equation of -x^2+2x+2 and you plug in 1 for x. -(1)^2+2(1)+2 Vertex= (1,3)

Factoring out: -x^2+2x+2 Unsolvable

This is an arch called the gateway.

The vertex is (-1,-2). The AoS is -2. The y-intercept is (0,-2). The domain is y > -2. The range is y > 1/2. It opens down because it has a minimum vertex.You have to use the AoS equationwhich is y=-b/2a.

y=-(1)/2(1) y=-1/1 y=-1You have to use the equation of x^2+1x-2 and you plug in -1 for x. (1)^2+1(-1)-2 Vertex= (-1,-2)

Factoring out: x^2+x-2 (x-1)(x+2)

Upside down gateway arch