Putting Quadratic Equations in Standard Form

Standard form of a quadratic equation

• y=x²

• y=ax²+bx+c

• y=mx+b

• y=x

Determine the values of
a, b, and c for
the quadratic equation: 
4x² – 8x = 3

• a = 4, b = -8, c = 3

• a = 4, b =-8, c =-3

• a = 4, b = 8, c = 3

• a = 4, b = 8, c = -3

Which value is the vertex?

• (-4, 0)

• (-1, -9)

• (0, -8)

• (2, 0)

What do we call the highest or lowest point of a quadratic?

• parabola

• vertex

• graph

• point

Which of the following equations matches standard form of a quadratic?

• ax + by = c

• y = a(x - h)² + k

• y = ax² + bx + c

• y = mx + b

How many solutions does the equation in standard form related to this function have?

• two

• one

• all real numbers

• no real solutions

Determine the vertex of the parabola:
y = 5x² - 20x + 13

• (5, -7)

• (-2, -7)

• (2, -7)

• (-7, -2)

How many solutions does the equation in standard form represented by this related function have?

• No real solutions

• 1 solution

• 2 solutions

• Infinitely many solutions

What are the solutions to the equation in standard form related to this function?

• x = 2

• x = -4 and x = -2

• x = -2

• x = 0 and x = -2

What are the green dots called?

• axis of symmetry

• vertex

• parabola

• roots, zeros, solutions, or x-intercepts

Tags

CCSS.HSF-IF.C.7A