Question

question 2 (mandatory) (1 point) saved
if a quadratic function is expressed in vertex form, $f(x)=a(x-h)^2 + k$, then which of the following is not true?
\\(\circ\\) a) the vertex is located at $(k, h)$.
\\(\boldsymbol{\circ}\\) b) the equation of the axis of symmetry is $x = h$.
\\(\circ\\) c) the function has a minimum value of $k$ when $a > 0$.
\\(\circ\\) d) the function has a maximum value of $k$ when $a < 0$.

Explanation:

For a quadratic function in vertex form \( f(x)=a(x - h)^2 + k \):

• The vertex is \((h,k)\), not \((k,h)\), so option a is false.
• The axis of symmetry is \(x = h\) (option b is true).
• When \(a>0\), the parabola opens up, so the minimum value is \(k\) (option c is true).
• When \(a<0\), the parabola opens down, so the maximum value is \(k\) (option d is true).

Answer:

a) The vertex is located at \((k, h)\)