Reading Quadratic Equations and Graphs

The general form of a quadratic function is

• y = x²

• y = ax²+bx+c

• y = mx + b

• y = x

Tags

Quadratic Equations

Which of the following equations matches vertex form of a quadratic equation?

• ax + by = c
• y = a(x - h)² + k
• y = ax² + bx + c
• y = mx + b

The graph of a quadratic function is called a(n)

• parabola

• vertex

• line of symmetry 

• ellipse

Tags

CCSS.HSF-IF.C.7A

The curve of a quadratic function is symmetrical about the line of symmetry.

• True

• False

Tags

CCSS.HSF-IF.C.7A

What is the green dashed line called?

• roots or x-intercepts

• parabola

• line of symmetry

• y-intercept

Tags

CCSS.HSF-IF.C.7A

The line of symmetry (of a quadratic curve) passes through which point?

• y-intercept
• any random point
• turning point (vertex)

• x-intercept

What is the equation of the line of symmetry for the graph in the given diagram?

• y = 3

• y = 4

• x = 3

• x = 4

Answer explanation

The line of symmetry is a vertical line.

Equation of vertical line is in the form x = a.

A quadratic curve open downwards when the value a is:

• negative
• positive
• 0
• infinite

Answer explanation

The coefficient of x² (or the value of a given by the general form ax² + bx + c) will determine the shape of the curve.

When a > 0 (positive), the curve opens upwards.

When a < 0 (negative, the curve opens downwards.

Tags

CCSS.HSF-IF.C.7A

What is the green dot on this quadratic curve (parabola) called?

• maximum point

• minimum point

• y-intercept

• x-intercept

Tags

CCSS.HSF-IF.C.7A

Which best describes the turning point (vertex) of a quadratic curve?

• Any point on the curve.

• A point on the x-axis.
• The highest or lowest point of the curve

• A point on the y-axis.