Graphing Quadratic Equations Quizizz

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

Answer explanation

The standard form of a quadratic equation is y = ax² + bx + c, where a, b, and c are constants. This form clearly shows the quadratic term (x²), making it the correct choice among the options.

Identify a, b, and c if y = 3x²+5x-8

• a=3, b=5, c=-8

• a=3, b=-8, c=5

• a=3x², b=5x, c=-8

• a=3x² , b=-8, c=5x

Answer explanation

In the equation y = 3x² + 5x - 8, the coefficients correspond to a, b, and c in the standard form y = ax² + bx + c. Here, a = 3, b = 5, and c = -8, making the correct choice a=3, b=5, c=-8.

What piece of information does c identify in the following equation?
y=ax²+bx+c

• Zeroes

• Axis of Symmetry

• Direction

• y-intercept

Answer explanation

In the equation y=ax²+bx+c, the term 'c' represents the y-intercept. This is the value of y when x is 0, indicating where the graph intersects the y-axis.

What is the y-intercept?
f(x) = -2x² + 4x - 6

• (0, 6)

• (0, -6)

• (6, 0)

• (-6, 0)

Answer explanation

To find the y-intercept, set x = 0 in the function f(x). f(0) = -2(0)^2 + 4(0) - 6 = -6. Thus, the y-intercept is (0, -6), which corresponds to the correct answer.

Tags

CCSS.HSF-IF.C.7A

What is the graph of y = -3x² + 12x - 16

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Tags

CCSS.HSF-IF.C.7A

What is the graph of this function: y = x² - 4x

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Tags

CCSS.HSF-IF.C.7A

What is the vertex of x²+9x+20?

• (4, 5)
• (4, -5)
• (-4.5, -.25)
• (4.5, -.25)

What is the equation for axis of symmetry?

• y=3
• x=3
• x=5
• x=1

Tags

CCSS.HSF-IF.C.7A

Does y = -4x² have a maximum or minimum value?

• maximum
• minimum

Tags

CCSS.HSF-IF.C.7A

A parabola has a vertex at (-3,2).
Where is the axis of symmetry?

• y = -2
• x = 3
• x = -3
• y = 2