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HiSET Graphing Quadratic Functions — practice questions

Explore 6 free Graphing Quadratic Functions questions in HiSET Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Graphing Quadratic Functions questions and exercises with answers

Showing questions 1–6 of 6.

What is the graph of a quadratic function called?Read the answer and worked solution →The quadratic term of a function is positive. Which way does its parabola open?Read the answer and worked solution →Where on a parabola does the vertex always sit?Read the answer and worked solution →How is the y-intercept of a quadratic function found?Read the answer and worked solution →Find the vertex of the parabola f(x) = 2x squared minus 8x plus 1.Read the answer and worked solution →Tap the one that does not belongRead the answer and worked solution →

Worked practice questions

What is the graph of a quadratic function called?

  1. A hyperbola
  2. A straight line
  3. A parabola
  4. A step graph
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Correct answer: C. A parabola

1. A quadratic function has the form ax squared plus bx plus c with a not 0. 2. Plotting points for such a function gives a smooth curve with one turning point. 3. That curve is called a parabola. _Source: OpenStax Intermediate Algebra (CC BY 4.0), section 9.6 Graph Quadratic Functions Using Properties_

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The quadratic term of a function is positive. Which way does its parabola open?

  1. It opens upward
  2. It opens downward
  3. It opens sideways
  4. It stays flat
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Correct answer: A. It opens upward

1. The sign of a, the coefficient on the squared term, sets the orientation of the parabola. 2. A positive quadratic term makes the parabola open upward, so the vertex is its lowest point. 3. A negative quadratic term makes it open downward instead, with the vertex at the top. _Source: OpenStax Intermediate Algebra (CC BY 4.0), section 9.6 Graph Quadratic Functions Using Properties_

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Where on a parabola does the vertex always sit?

  1. On the y-axis always
  2. On the x-axis always
  3. On the axis of symmetry
  4. At the y-intercept
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Correct answer: C. On the axis of symmetry

1. A parabola folds onto itself across one vertical line, called its axis of symmetry. 2. The lowest point of an upward parabola, or the highest point of a downward one, is the vertex. 3. That extreme point sits exactly on the fold line, so the vertex always lies on the axis of symmetry. 4. Its x-coordinate is therefore the same number that the axis of symmetry is set equal to. _Source: OpenStax Intermediate Algebra (CC BY 4.0), section 9.6 Graph Quadratic Functions Using Properties_

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More Mathematics topics

The Quadratic FormulaLogarithmic FunctionsApplications of Quadratic EquationsExponential and Logarithmic EquationsQuadratic InequalitiesSquare Root PropertyEquations in Quadratic FormExponential Functions