Quadratics Properties

How much do you remember about Quadratics from Algebra 1 last year?

$$g\left(x\right)=-\left(x+1\right)^2+3$$ is a "transformed function" from the parent function $$f\left(x\right)=x^2$$ and has an x-axis reflection. Which function below also has an x-axis reflection?

$$g\left(x\right)=4\left(x+1\right)^2+3$$ is a "transformed function" from the parent function $$f\left(x\right)=x^2$$ and has a shift up. Which function below also has a shift up?

$$g\left(x\right)=4\left(x+1\right)^2+3$$ is a "transformed function" from the parent function $$f\left(x\right)=x^2$$ and has a shift left. Which function below also has a shift left?

Does this parabola have a maximum or minimum value at y=k?

What is the vertex of the following quadratic? (Gridlines are 1 unit)

What is the vertex of the following quadratic equation? $$f\left(x\right)=2\left(x-1\right)^2+5$$  

What is the axis of symmetry of the following quadratic? (Gridlines are 1 unit)

What is the axis of symmetry of the following quadratic? $$y=2\left(x-5\right)^2+1$$  

What is the extrema of the following quadratic? (Gridlines are 1 unit)

What is the domain of the following quadratic?

What is the range of the following quadratic?

The equation of a quadratic in standard form is $$y=2x^2-5x+3$$ . Identify a, b, and c.

The standard form of a quadratic is $$y=x^2+4x+3$$  . What is the vertex of the quadratic? (Use $$\frac{-b}{2a}$$  for h and substitute that value into the equation to find k.)

The standard form of a quadratic is $$y=x^2+4x+3$$ . Using $$\frac{-b}{2a}$$  to find h and substituting that value into the equation to find k, the vertex is found to be $$\left(-2,\ -1\right)$$ . What is the vertex form of this quadratic?

How confident do you feel about what we learned today?