Question Type 4: Calculating the vertex and axis of symmetry of quadratic functions Exercises

Determine the vertex and axis of symmetry for $f(x)=x^2-4x+7$.

Determine the vertex and axis of symmetry of $f(x)=-0.25x^2+0.5x-1$.

Find the vertex and axis of symmetry of $f(x)=5x^2+20x+15$.

Determine the vertex and axis of symmetry of $f(x) = 0.5x^2 + 3x + 1$.

Calculate the vertex and axis of symmetry of the parabola $f(x)=-3x^2+12x-4$. [5 marks]

Given the vertex form $f(x)=3(x+2)^2-5$, state the vertex and axis of symmetry.

Find the vertex and equation of the axis of symmetry of $f(x)=2x^2-8x+5$.

Find the vertex and equation of the axis of symmetry of the quadratic function $f(x) = 5x^2 + 6x + 4$.

Determine the vertex and axis of symmetry for $f(x)=-2x^2-8x-6$.

Calculate the vertex and axis of symmetry of the quadratic $f(x)=7x^2-14x+10$.

Find the coordinates of the vertex and the equation of the axis of symmetry of the graph of $f(x)=4x^2-4x+1$.